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57930132 = 22313477901
BaseRepresentation
bin1101110011111…
…1000110010100
311001000011012110
43130333012110
5104312231012
65425351020
71302253341
oct334770624
9131004173
1057930132
112a777847
1217498470
13c003ab0
14799d7c8
15514473c
hex373f194

57930132 has 48 divisors (see below), whose sum is σ = 148684032. Its totient is φ = 17443200.

The previous prime is 57930079. The next prime is 57930133. The reversal of 57930132 is 23103975.

It is a self number, because there is not a number n which added to its sum of digits gives 57930132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57930133) 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, 3382 + ... + 11282.

It is an arithmetic number, because the mean of its divisors is an integer number (3097584).

Almost surely, 257930132 is an apocalyptic number.

57930132 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 57930132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74342016).

57930132 is an abundant number, since it is smaller than the sum of its proper divisors (90753900).

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

57930132 is a wasteful number, since it uses less digits than its factorization.

57930132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7968 (or 7966 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 57930132 is about 7611.1846646892. The cubic root of 57930132 is about 386.9321703395.

The spelling of 57930132 in words is "fifty-seven million, nine hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1222 1833 2444 3666 7332 7901 15802 23703 31604 47406 94812 102713 205426 308139 371347 410852 616278 742694 1114041 1232556 1485388 2228082 4456164 4827511 9655022 14482533 19310044 28965066 57930132