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1057955796 = 223319541953
BaseRepresentation
bin111111000011110…
…001111111010100
32201201201201112000
4333003301333110
54131314041141
6252551355300
735134322142
oct7703617724
92651651460
101057955796
114a3208937
12256382b30
1313b24c861
14a0716592
1562d2d5b6
hex3f0f1fd4

1057955796 has 96 divisors (see below), whose sum is σ = 2895580800. Its totient is φ = 333123840.

The previous prime is 1057955791. The next prime is 1057955807. The reversal of 1057955796 is 6975597501.

1057955796 is a `hidden beast` number, since 10 + 5 + 79 + 557 + 9 + 6 = 666.

It is a super-2 number, since 2×10579557962 = 2238540932579987232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057955791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1109656 + ... + 1110608.

It is an arithmetic number, because the mean of its divisors is an integer number (30162300).

Almost surely, 21057955796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057955796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447790400).

1057955796 is an abundant number, since it is smaller than the sum of its proper divisors (1837625004).

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

1057955796 is a wasteful number, since it uses less digits than its factorization.

1057955796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 2976750, while the sum is 54.

The square root of 1057955796 is about 32526.2324286106. The cubic root of 1057955796 is about 1018.9569614478.

The spelling of 1057955796 in words is "one billion, fifty-seven million, nine hundred fifty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 541 684 953 1026 1082 1623 1906 2052 2164 2859 3246 3812 4869 5718 6492 8577 9738 10279 11436 14607 17154 18107 19476 20558 25731 29214 30837 34308 36214 41116 51462 54321 58428 61674 72428 92511 102924 108642 123348 162963 185022 217284 277533 325926 370044 488889 515573 555066 651852 977778 1031146 1110132 1546719 1955556 2062292 3093438 4640157 6186876 9280314 9795887 13920471 18560628 19591774 27840942 29387661 39183548 55681884 58775322 88162983 117550644 176325966 264488949 352651932 528977898 1057955796