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57434752 = 27479547
BaseRepresentation
bin1101101100011…
…0001010000000
311000001222200001
43123012022000
5104200403002
65411005344
71265121154
oct333061200
9130058601
1057434752
112a469641
1217299854
13bb8c47b
1478b1064
155097a87
hex36c6280

57434752 has 32 divisors (see below), whose sum is σ = 116867520. Its totient is φ = 28103424.

The previous prime is 57434747. The next prime is 57434753. The reversal of 57434752 is 25743475.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (57434753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1243 + ... + 10789.

It is an arithmetic number, because the mean of its divisors is an integer number (3652110).

Almost surely, 257434752 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 57434752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58433760).

57434752 is an abundant number, since it is smaller than the sum of its proper divisors (59432768).

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

57434752 is an equidigital number, since it uses as much as digits as its factorization.

57434752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9608 (or 9596 counting only the distinct ones).

The product of its digits is 117600, while the sum is 37.

The square root of 57434752 is about 7578.5718971321. The cubic root of 57434752 is about 385.8260825322.

The spelling of 57434752 in words is "fifty-seven million, four hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 6016 9547 19094 38188 76376 152752 305504 448709 611008 897418 1222016 1794836 3589672 7179344 14358688 28717376 57434752