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57289232 = 2473111373
BaseRepresentation
bin1101101010001…
…0101000010000
310222210121001102
43122202220100
5104131223412
65403523532
71263644000
oct332425020
9128717042
1057289232
112a37a280
12172295a8
13bb3b170
147874000
1550698c2
hex36a2a10

57289232 has 160 divisors (see below), whose sum is σ = 154156800. Its totient is φ = 20321280.

The previous prime is 57289231. The next prime is 57289247. The reversal of 57289232 is 23298275.

It is a super-2 number, since 2×572892322 = 6564112206299648, which contains 22 as substring.

Its product of digits (60480) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (57289231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784748 + ... + 784820.

It is an arithmetic number, because the mean of its divisors is an integer number (963480).

Almost surely, 257289232 is an apocalyptic number.

57289232 is a gapful number since it is divisible by the number (52) 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 57289232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77078400).

57289232 is an abundant number, since it is smaller than the sum of its proper divisors (96867568).

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

57289232 is a wasteful number, since it uses less digits than its factorization.

57289232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 57289232 is about 7568.9650547482. The cubic root of 57289232 is about 385.4999565418.

The spelling of 57289232 in words is "fifty-seven million, two hundred eighty-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 49 52 56 73 77 88 91 98 104 112 143 146 154 176 182 196 208 286 292 308 343 364 392 511 539 572 584 616 637 686 728 784 803 949 1001 1022 1078 1144 1168 1232 1274 1372 1456 1606 1898 2002 2044 2156 2288 2548 2744 3212 3577 3773 3796 4004 4088 4312 4459 5096 5488 5621 6424 6643 7007 7154 7546 7592 8008 8176 8624 8918 10192 10439 11242 12848 13286 14014 14308 15092 15184 16016 17836 20878 22484 25039 26572 28028 28616 30184 35672 39347 41756 44968 46501 49049 50078 53144 56056 57232 60368 71344 73073 78694 83512 89936 93002 98098 100156 106288 112112 146146 157388 167024 186004 196196 200312 275429 292292 314776 325507 372008 392392 400624 511511 550858 584584 629552 651014 744016 784784 1023022 1101716 1169168 1302028 2046044 2203432 2604056 3580577 4092088 4406864 5208112 7161154 8184176 14322308 28644616 57289232