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1426607712 = 253297223229
BaseRepresentation
bin101010100001000…
…0100111001100000
310200102102011212200
41111002010321200
510410202421322
6353321053200
750231652105
oct12502047140
93612364780
101426607712
11672312542
12339927200
1319973669a
14d767aaac
158539d8ac
hex55084e60

1426607712 has 144 divisors (see below), whose sum is σ = 4135098240. Its totient is φ = 466477056.

The previous prime is 1426607681. The next prime is 1426607713. The reversal of 1426607712 is 2177066241.

1426607712 is a `hidden beast` number, since 1 + 42 + 6 + 607 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426607713) 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 23 ways as a sum of consecutive naturals, for example, 6229614 + ... + 6229842.

It is an arithmetic number, because the mean of its divisors is an integer number (28715960).

Almost surely, 21426607712 is an apocalyptic number.

1426607712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426607712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067549120).

1426607712 is an abundant number, since it is smaller than the sum of its proper divisors (2708490528).

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

1426607712 is a wasteful number, since it uses less digits than its factorization.

1426607712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1426607712 is about 37770.4608391267. The cubic root of 1426607712 is about 1125.7315964302.

The spelling of 1426607712 in words is "one billion, four hundred twenty-six million, six hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 223 229 288 291 388 446 458 582 669 687 776 873 892 916 1164 1338 1374 1552 1746 1784 1832 2007 2061 2328 2676 2748 3104 3492 3568 3664 4014 4122 4656 5352 5496 6984 7136 7328 8028 8244 9312 10704 10992 13968 16056 16488 21408 21631 21984 22213 27936 32112 32976 43262 44426 51067 64224 64893 65952 66639 86524 88852 102134 129786 133278 153201 173048 177704 194679 199917 204268 259572 266556 306402 346096 355408 389358 399834 408536 459603 519144 533112 612804 692192 710816 778716 799668 817072 919206 1038288 1066224 1225608 1557432 1599336 1634144 1838412 2076576 2132448 2451216 3114864 3198672 3676824 4902432 4953499 6229728 6397344 7353648 9906998 14707296 14860497 19813996 29720994 39627992 44581491 59441988 79255984 89162982 118883976 158511968 178325964 237767952 356651928 475535904 713303856 1426607712