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57485232 = 2432728147
BaseRepresentation
bin1101101101001…
…0011110110000
311000011112220200
43123102132300
5104204011412
65412035200
71265421300
oct333223660
9130145820
1057485232
112a4a3562
1217302b00
13bba943c
1478c5600
1550a79dc
hex36d27b0

57485232 has 90 divisors (see below), whose sum is σ = 187167708. Its totient is φ = 16422336.

The previous prime is 57485213. The next prime is 57485251. The reversal of 57485232 is 23258475.

57485232 is a `hidden beast` number, since 574 + 8 + 52 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (57485213) and next prime (57485251).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2983 + ... + 11129.

Almost surely, 257485232 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 57485232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93583854).

57485232 is an abundant number, since it is smaller than the sum of its proper divisors (129682476).

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

57485232 is a wasteful number, since it uses less digits than its factorization.

57485232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8175 (or 8159 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 57485232 is about 7581.9016084357. The cubic root of 57485232 is about 385.9390849493.

The spelling of 57485232 in words is "fifty-seven million, four hundred eighty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 8147 16294 24441 32588 48882 57029 65176 73323 97764 114058 130352 146646 171087 195528 228116 293292 342174 391056 399203 456232 513261 586584 684348 798406 912464 1026522 1173168 1197609 1368696 1596812 2053044 2395218 2737392 3193624 3592827 4106088 4790436 6387248 7185654 8212176 9580872 14371308 19161744 28742616 57485232