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1057878689 = 72315631237
BaseRepresentation
bin111111000011011…
…111001010100001
32201201120210202012
4333003133022201
54131304104224
6252550002305
735133551300
oct7703371241
92651523665
101057878689
114a3165a0a
12256346395
1313b22372a
14a06d6437
1562d1580e
hex3f0df2a1

1057878689 has 24 divisors (see below), whose sum is σ = 1273575168. Its totient is φ = 875236320.

The previous prime is 1057878683. The next prime is 1057878691. The reversal of 1057878689 is 9868787501.

It is not a de Polignac number, because 1057878689 - 216 = 1057813153 is a prime.

It is a super-2 number, since 2×10578786892 = 2238214641280717442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057878683) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 854579 + ... + 855815.

It is an arithmetic number, because the mean of its divisors is an integer number (53065632).

Almost surely, 21057878689 is an apocalyptic number.

It is an amenable number.

1057878689 is a deficient number, since it is larger than the sum of its proper divisors (215696479).

1057878689 is a wasteful number, since it uses less digits than its factorization.

1057878689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 59.

The square root of 1057878689 is about 32525.0471021949. The cubic root of 1057878689 is about 1018.9322059638.

The spelling of 1057878689 in words is "one billion, fifty-seven million, eight hundred seventy-eight thousand, six hundred eighty-nine".

Divisors: 1 7 31 49 217 563 1237 1519 3941 8659 17453 27587 38347 60613 122171 268429 696431 855197 1879003 4875017 21589361 34125119 151125527 1057878689