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1426533888 = 29313199359
BaseRepresentation
bin101010100000111…
…0010111000000000
310200102021102121110
41111001302320000
510410143041023
6353315323320
750231223633
oct12501627000
93612242543
101426533888
1167227202a
123398b0540
1319970bbc0
14d765bc1a
1585386a93
hex55072e00

1426533888 has 160 divisors (see below), whose sum is σ = 4124736000. Its totient is φ = 435511296.

The previous prime is 1426533883. The next prime is 1426533893. The reversal of 1426533888 is 8883356241.

It is an interprime number because it is at equal distance from previous prime (1426533883) and next prime (1426533893).

It is a super-2 number, since 2×14265338882 = 4069997867224793088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1105920) is a multiple of the sum of its prime divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426533883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3973453 + ... + 3973811.

It is an arithmetic number, because the mean of its divisors is an integer number (25779600).

Almost surely, 21426533888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426533888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062368000).

1426533888 is an abundant number, since it is smaller than the sum of its proper divisors (2698202112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1426533888 is a wasteful number, since it uses less digits than its factorization.

1426533888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 576 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 1426533888 is about 37769.4835548489. The cubic root of 1426533888 is about 1125.7121780009.

The spelling of 1426533888 in words is "one billion, four hundred twenty-six million, five hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 199 208 256 312 359 384 398 416 512 597 624 718 768 796 832 1077 1194 1248 1436 1536 1592 1664 2154 2388 2496 2587 2872 3184 3328 4308 4667 4776 4992 5174 5744 6368 6656 7761 8616 9334 9552 9984 10348 11488 12736 14001 15522 17232 18668 19104 19968 20696 22976 25472 28002 31044 34464 37336 38208 41392 45952 50944 56004 62088 68928 71441 74672 76416 82784 91904 101888 112008 124176 137856 142882 149344 152832 165568 183808 214323 224016 248352 275712 285764 298688 305664 331136 428646 448032 496704 551424 571528 597376 662272 857292 896064 928733 993408 1143056 1194752 1324544 1714584 1792128 1857466 1986816 2286112 2389504 2786199 3429168 3584256 3714932 3973632 4572224 5572398 6858336 7168512 7429864 9144448 11144796 13716672 14859728 18288896 22289592 27433344 29719456 36577792 44579184 54866688 59438912 89158368 109733376 118877824 178316736 237755648 356633472 475511296 713266944 1426533888