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157865268 = 2231131173223
BaseRepresentation
bin10010110100011…
…01010100110100
3102000001101102210
421122031110310
5310403142033
623355333420
73624555411
oct1132152464
9360041383
10157865268
1181124570
1244a51270
1326923c02
1416d75108
15dcd4d63
hex968d534

157865268 has 96 divisors (see below), whose sum is σ = 419069952. Its totient is φ = 45820800.

The previous prime is 157865251. The next prime is 157865287. The reversal of 157865268 is 862568751.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707805 + ... + 708027.

It is an arithmetic number, because the mean of its divisors is an integer number (4365312).

Almost surely, 2157865268 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 157865268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209534976).

157865268 is an abundant number, since it is smaller than the sum of its proper divisors (261204684).

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

157865268 is a wasteful number, since it uses less digits than its factorization.

157865268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 157865268 is about 12564.4445957631. Note that the first 3 decimals coincide. The cubic root of 157865268 is about 540.4583077609.

The spelling of 157865268 in words is "one hundred fifty-seven million, eight hundred sixty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 173 186 223 341 346 372 446 519 669 682 692 892 1023 1038 1338 1364 1903 2046 2076 2453 2676 3806 4092 4906 5363 5709 6913 7359 7612 9812 10726 11418 13826 14718 16089 20739 21452 22836 27652 29436 32178 38579 41478 58993 64356 76043 77158 82956 115737 117986 152086 154316 176979 228129 231474 235972 304172 353958 424369 456258 462948 707916 848738 912516 1195949 1273107 1697476 2391898 2546214 3587847 4783796 5092428 7175694 13155439 14351388 26310878 39466317 52621756 78932634 157865268