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57263872 = 281961193
BaseRepresentation
bin1101101001110…
…0011100000000
310222202022021011
43122130130000
5104124420442
65403210304
71263510031
oct332343400
9128668234
1057263872
112a362216
1217216994
13bb2c763
147868a88
155062117
hex369c700

57263872 has 72 divisors (see below), whose sum is σ = 122926160. Its totient is φ = 26542080.

The previous prime is 57263867. The next prime is 57263873. The reversal of 57263872 is 27836275.

It is a super-3 number, since 3×572638723 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57263873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296608 + ... + 296800.

Almost surely, 257263872 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 57263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61463080).

57263872 is an abundant number, since it is smaller than the sum of its proper divisors (65662288).

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

57263872 is a wasteful number, since it uses less digits than its factorization.

57263872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its digits is 141120, while the sum is 40.

The square root of 57263872 is about 7567.2896072504. The cubic root of 57263872 is about 385.4430655610.

The spelling of 57263872 in words is "fifty-seven million, two hundred sixty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 193 244 256 304 386 488 608 772 976 1159 1216 1544 1952 2318 2432 3088 3667 3904 4636 4864 6176 7334 7808 9272 11773 12352 14668 15616 18544 23546 24704 29336 37088 47092 49408 58672 74176 94184 117344 148352 188368 223687 234688 296704 376736 447374 469376 753472 894748 938752 1506944 1789496 3013888 3578992 7157984 14315968 28631936 57263872