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57397728 = 2532953389
BaseRepresentation
bin1101101011110…
…1000111100000
311000000002212210
43122331013200
5104143211403
65410122120
71264605213
oct332750740
9130002783
1057397728
112a443843
1217280340
13bb7866b
1478a177a
15508bb03
hex36bd1e0

57397728 has 96 divisors (see below), whose sum is σ = 159213600. Its totient is φ = 18077696.

The previous prime is 57397633. The next prime is 57397759. The reversal of 57397728 is 82779375.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147358 + ... + 147746.

It is an arithmetic number, because the mean of its divisors is an integer number (1658475).

Almost surely, 257397728 is an apocalyptic number.

57397728 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57397728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79606800).

57397728 is an abundant number, since it is smaller than the sum of its proper divisors (101815872).

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

57397728 is a wasteful number, since it uses less digits than its factorization.

57397728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 476 counting only the distinct ones).

The product of its digits is 740880, while the sum is 48.

The square root of 57397728 is about 7576.1288267822. The cubic root of 57397728 is about 385.7431600567.

The spelling of 57397728 in words is "fifty-seven million, three hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 53 58 87 96 106 116 159 174 212 232 318 348 389 424 464 636 696 778 848 928 1167 1272 1392 1537 1556 1696 2334 2544 2784 3074 3112 4611 4668 5088 6148 6224 9222 9336 11281 12296 12448 18444 18672 20617 22562 24592 33843 36888 37344 41234 45124 49184 61851 67686 73776 82468 90248 123702 135372 147552 164936 180496 247404 270744 329872 360992 494808 541488 597893 659744 989616 1082976 1195786 1793679 1979232 2391572 3587358 4783144 7174716 9566288 14349432 19132576 28698864 57397728