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1056479892 = 22313171313041
BaseRepresentation
bin111110111110001…
…001101010010100
32201121221201221220
4332332021222110
54130424324032
6252500010340
735115634206
oct7676115224
92647851856
101056479892
114a239aa86
122559909b0
1313ab53b40
14a0450776
1562b3b12c
hex3ef89a94

1056479892 has 96 divisors (see below), whose sum is σ = 2833294464. Its totient is φ = 303513600.

The previous prime is 1056479869. The next prime is 1056479903. The reversal of 1056479892 is 2989746501.

It is a super-2 number, since 2×10564798922 = 2232299524400663328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345892 + ... + 348932.

It is an arithmetic number, because the mean of its divisors is an integer number (29513484).

Almost surely, 21056479892 is an apocalyptic number.

1056479892 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 1056479892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416647232).

1056479892 is an abundant number, since it is smaller than the sum of its proper divisors (1776814572).

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

1056479892 is a wasteful number, since it uses less digits than its factorization.

1056479892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 1056479892 is about 32503.5366075755. The cubic root of 1056479892 is about 1018.4829080783.

The spelling of 1056479892 in words is "one billion, fifty-six million, four hundred seventy-nine thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 131 156 204 221 262 393 442 524 663 786 884 1326 1572 1703 2227 2652 3041 3406 4454 5109 6082 6681 6812 8908 9123 10218 12164 13362 18246 20436 26724 28951 36492 39533 51697 57902 79066 86853 103394 115804 118599 155091 158132 173706 206788 237198 310182 347412 398371 474396 620364 672061 796742 1195113 1344122 1593484 2016183 2390226 2688244 4032366 4780452 5178823 6772307 8064732 10357646 13544614 15536469 20316921 20715292 27089228 31072938 40633842 62145876 81267684 88039991 176079982 264119973 352159964 528239946 1056479892