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57400432 = 2417281751
BaseRepresentation
bin1101101011110…
…1110001110000
311000000020120221
43122331301300
5104143303212
65410142424
71264616125
oct332756160
9130006527
1057400432
112a445881
1217281a14
13bb7996b
1478a274c
15508c807
hex36bdc70

57400432 has 40 divisors (see below), whose sum is σ = 118331712. Its totient is φ = 26880000.

The previous prime is 57400363. The next prime is 57400457. The reversal of 57400432 is 23400475.

It is a junction number, because it is equal to n+sod(n) for n = 57400397 and 57400406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76057 + ... + 76807.

Almost surely, 257400432 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 57400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59165856).

57400432 is an abundant number, since it is smaller than the sum of its proper divisors (60931280).

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

57400432 is a wasteful number, since it uses less digits than its factorization.

57400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 57400432 is about 7576.3072799353. The cubic root of 57400432 is about 385.7492173994.

The spelling of 57400432 in words is "fifty-seven million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 281 562 751 1124 1502 2248 3004 4496 4777 6008 9554 12016 12767 19108 25534 38216 51068 76432 102136 204272 211031 422062 844124 1688248 3376496 3587527 7175054 14350108 28700216 57400432