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57482752 = 29192311
BaseRepresentation
bin1101101101000…
…1111000000000
311000011102111211
43123101320000
5104203422002
65412015504
71265411125
oct333217000
9130142454
1057482752
112a4a1708
1217301594
13bba8282
1478c474c
1550a6dd7
hex36d1e00

57482752 has 60 divisors (see below), whose sum is σ = 121606056. Its totient is φ = 27141120.

The previous prime is 57482749. The next prime is 57482759. The reversal of 57482752 is 25728475.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57482759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184677 + ... + 184987.

Almost surely, 257482752 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 57482752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60803028).

57482752 is an abundant number, since it is smaller than the sum of its proper divisors (64123304).

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

57482752 is an equidigital number, since it uses as much as digits as its factorization.

57482752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 332 counting only the distinct ones).

The product of its digits is 156800, while the sum is 40.

The square root of 57482752 is about 7581.7380593107. The cubic root of 57482752 is about 385.9335348705.

The spelling of 57482752 in words is "fifty-seven million, four hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 311 361 512 608 622 722 1216 1244 1444 2432 2488 2888 4864 4976 5776 5909 9728 9952 11552 11818 19904 23104 23636 39808 46208 47272 79616 92416 94544 112271 159232 184832 189088 224542 378176 449084 756352 898168 1512704 1796336 3025408 3592672 7185344 14370688 28741376 57482752