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1426214496 = 25375413923
BaseRepresentation
bin101010100000010…
…0100111001100000
310200101200012111010
41111000210321200
510410102330441
6353304420520
750225423520
oct12500447140
93611605433
101426214496
11672074073
12339777740
13199629705
14d75b7680
1585322116
hex55024e60

1426214496 has 96 divisors (see below), whose sum is σ = 4287644928. Its totient is φ = 406632960.

The previous prime is 1426214467. The next prime is 1426214513. The reversal of 1426214496 is 6944126241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 361591 + ... + 365513.

It is an arithmetic number, because the mean of its divisors is an integer number (44662968).

Almost surely, 21426214496 is an apocalyptic number.

1426214496 is a gapful number since it is divisible by the number (16) 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 1426214496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143822464).

1426214496 is an abundant number, since it is smaller than the sum of its proper divisors (2861430432).

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

1426214496 is a wasteful number, since it uses less digits than its factorization.

1426214496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4476 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 1426214496 is about 37765.2551427896. The cubic root of 1426214496 is about 1125.6281584288.

The spelling of 1426214496 in words is "one billion, four hundred twenty-six million, two hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 541 672 1082 1623 2164 3246 3787 3923 4328 6492 7574 7846 8656 11361 11769 12984 15148 15692 17312 22722 23538 25968 27461 30296 31384 45444 47076 51936 54922 60592 62768 82383 90888 94152 109844 121184 125536 164766 181776 188304 219688 329532 363552 376608 439376 659064 878752 1318128 2122343 2636256 4244686 6367029 8489372 12734058 14856401 16978744 25468116 29712802 33957488 44569203 50936232 59425604 67914976 89138406 101872464 118851208 178276812 203744928 237702416 356553624 475404832 713107248 1426214496