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57329472 = 263476353
BaseRepresentation
bin1101101010110…
…0011101000000
310222212122020210
43122230131000
5104134020342
65404434120
71264202214
oct332543500
9128778223
1057329472
112a3a7532
1217248940
13bb53585
147884944
15507679c
hex36ac740

57329472 has 56 divisors (see below), whose sum is σ = 154935936. Its totient is φ = 18700288.

The previous prime is 57329443. The next prime is 57329497. The reversal of 57329472 is 27492375.

It is a self number, because there is not a number n which added to its sum of digits gives 57329472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5848 + ... + 12200.

Almost surely, 257329472 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 57329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77467968).

57329472 is an abundant number, since it is smaller than the sum of its proper divisors (97606464).

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

57329472 is a wasteful number, since it uses less digits than its factorization.

57329472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6415 (or 6405 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 57329472 is about 7571.6228115246. The cubic root of 57329472 is about 385.5901939048.

The spelling of 57329472 in words is "fifty-seven million, three hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 6353 9024 12706 19059 25412 38118 50824 76236 101648 152472 203296 298591 304944 406592 597182 609888 895773 1194364 1219776 1791546 2388728 3583092 4777456 7166184 9554912 14332368 19109824 28664736 57329472