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57988960 = 255362431
BaseRepresentation
bin1101110100110…
…1011101100000
311001010010220021
43131031131200
5104321121320
65430523224
71302620011
oct335153540
9131103807
1057988960
112a807a67
1217506514
13c0247c3
1479b7008
155156daa
hex374d760

57988960 has 24 divisors (see below), whose sum is σ = 136999296. Its totient is φ = 23195520.

The previous prime is 57988939. The next prime is 57988967. The reversal of 57988960 is 6988975.

It is a junction number, because it is equal to n+sod(n) for n = 57988898 and 57988907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57988967) 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, 181056 + ... + 181375.

It is an arithmetic number, because the mean of its divisors is an integer number (5708304).

Almost surely, 257988960 is an apocalyptic number.

It is an amenable number.

57988960 is an abundant number, since it is smaller than the sum of its proper divisors (79010336).

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

57988960 is a wasteful number, since it uses less digits than its factorization.

57988960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362446 (or 362438 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The square root of 57988960 is about 7615.0482598602. The cubic root of 57988960 is about 387.0631024594.

The spelling of 57988960 in words is "fifty-seven million, nine hundred eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 362431 724862 1449724 1812155 2899448 3624310 5798896 7248620 11597792 14497240 28994480 57988960