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57475152 = 24327193001
BaseRepresentation
bin1101101101000…
…0000001010000
311000011001002100
43123100001100
5104203201102
65411520400
71265350020
oct333200120
9130131070
1057475152
112a496a29
12172b9100
13bba4987
1478c1a80
1550a4a1c
hex36d0050

57475152 has 120 divisors (see below), whose sum is σ = 193568960. Its totient is φ = 15552000.

The previous prime is 57475141. The next prime is 57475169. The reversal of 57475152 is 25157475.

57475152 is a `hidden beast` number, since 574 + 75 + 15 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17652 + ... + 20652.

Almost surely, 257475152 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 57475152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96784480).

57475152 is an abundant number, since it is smaller than the sum of its proper divisors (136093808).

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

57475152 is a wasteful number, since it uses less digits than its factorization.

57475152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3032 counting only the distinct ones).

The product of its digits is 49000, while the sum is 36.

The square root of 57475152 is about 7581.2368384057. The cubic root of 57475152 is about 385.9165255704.

The spelling of 57475152 in words is "fifty-seven million, four hundred seventy-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3001 3192 4788 6002 6384 9003 9576 12004 18006 19152 21007 24008 27009 36012 42014 48016 54018 57019 63021 72024 84028 108036 114038 126042 144048 168056 171057 189063 216072 228076 252084 336112 342114 378126 399133 432144 456152 504168 513171 684228 756252 798266 912304 1008336 1026342 1197399 1368456 1512504 1596532 2052684 2394798 2736912 3025008 3193064 3592197 4105368 4789596 6386128 7184394 8210736 9579192 14368788 19158384 28737576 57475152