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57434052 = 223133471061
BaseRepresentation
bin1101101100010…
…1111111000100
311000001221201010
43123011333010
5104200342202
65411002220
71265116134
oct333057704
9130057633
1057434052
112a469065
1217299370
13bb8c060
1478b0ac4
15509776c
hex36c5fc4

57434052 has 48 divisors (see below), whose sum is σ = 144873792. Its totient is φ = 17604480.

The previous prime is 57434051. The next prime is 57434053. The reversal of 57434052 is 25043475.

It is an interprime number because it is at equal distance from previous prime (57434051) and next prime (57434053).

It is not an unprimeable number, because it can be changed into a prime (57434051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53602 + ... + 54662.

It is an arithmetic number, because the mean of its divisors is an integer number (3018204).

Almost surely, 257434052 is an apocalyptic number.

57434052 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 57434052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72436896).

57434052 is an abundant number, since it is smaller than the sum of its proper divisors (87439740).

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

57434052 is a wasteful number, since it uses less digits than its factorization.

57434052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 57434052 is about 7578.5257141478. The cubic root of 57434052 is about 385.8245150761.

The spelling of 57434052 in words is "fifty-seven million, four hundred thirty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 347 694 1041 1061 1388 2082 2122 3183 4164 4244 4511 6366 9022 12732 13533 13793 18044 27066 27586 41379 54132 55172 82758 165516 368167 736334 1104501 1472668 2209002 4418004 4786171 9572342 14358513 19144684 28717026 57434052