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657395052 = 223312716521
BaseRepresentation
bin100111001011110…
…000110101101100
31200211000010110220
4213023300311230
52321243120202
6145122131340
722201523436
oct4713606554
91624003426
10657395052
1130809a6a6
121641b0b50
13a6272c72
1463447656
153caa8abc
hex272f0d6c

657395052 has 48 divisors (see below), whose sum is σ = 1589489664. Its totient is φ = 211248000.

The previous prime is 657395047. The next prime is 657395059. The reversal of 657395052 is 250593756.

It is a junction number, because it is equal to n+sod(n) for n = 657394995 and 657395013.

It is not an unprimeable number, because it can be changed into a prime (657395059) 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, 97552 + ... + 104072.

It is an arithmetic number, because the mean of its divisors is an integer number (33114368).

Almost surely, 2657395052 is an apocalyptic number.

657395052 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

657395052 is an abundant number, since it is smaller than the sum of its proper divisors (932094612).

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

657395052 is a wasteful number, since it uses less digits than its factorization.

657395052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6830 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 42.

The square root of 657395052 is about 25639.7163010826. The cubic root of 657395052 is about 869.5117937354.

The spelling of 657395052 in words is "six hundred fifty-seven million, three hundred ninety-five thousand, fifty-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 271 372 542 813 1084 1626 3252 6521 8401 13042 16802 19563 25203 26084 33604 39126 50406 78252 100812 202151 404302 606453 808604 1212906 1767191 2425812 3534382 5301573 7068764 10603146 21206292 54782921 109565842 164348763 219131684 328697526 657395052