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1057765752 = 233214691191
BaseRepresentation
bin111111000011000…
…011100101111000
32201201101001211100
4333003003211320
54131242001002
6252543331400
735132601111
oct7703034570
92651331740
101057765752
114a309907a
122562b0b60
1313b1b41c4
14a06a7208
1562ce211c
hex3f0c3978

1057765752 has 24 divisors (see below), whose sum is σ = 2864782440. Its totient is φ = 352588560.

The previous prime is 1057765733. The next prime is 1057765781. The reversal of 1057765752 is 2575677501.

It is a happy number.

1057765752 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 76 + 575 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10577657522 = 2237736772208251008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057765698 and 1057765707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7345524 + ... + 7345667.

It is an arithmetic number, because the mean of its divisors is an integer number (119365935).

Almost surely, 21057765752 is an apocalyptic number.

1057765752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1057765752 is an abundant number, since it is smaller than the sum of its proper divisors (1807016688).

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

1057765752 is a wasteful number, since it uses less digits than its factorization.

1057765752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14691203 (or 14691196 counting only the distinct ones).

The product of its (nonzero) digits is 514500, while the sum is 45.

The square root of 1057765752 is about 32523.3109015672. The cubic root of 1057765752 is about 1018.8959449561.

The spelling of 1057765752 in words is "one billion, fifty-seven million, seven hundred sixty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14691191 29382382 44073573 58764764 88147146 117529528 132220719 176294292 264441438 352588584 528882876 1057765752