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57300093 = 3240115877
BaseRepresentation
bin1101101010010…
…1010001111101
310222211010221200
43122211101331
5104132100333
65404050113
71264020444
oct332452175
9128733850
1057300093
112a387454
1217233939
13bb430a6
147877d5b
15506cc13
hex36a547d

57300093 has 12 divisors (see below), whose sum is σ = 82978428. Its totient is φ = 38102400.

The previous prime is 57300091. The next prime is 57300119. The reversal of 57300093 is 39000375.

57300093 is a `hidden beast` number, since 573 + 0 + 0 + 0 + 93 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57108249 + 191844 = 7557^2 + 438^2 .

It is not a de Polignac number, because 57300093 - 21 = 57300091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57300091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4330 + ... + 11547.

It is an arithmetic number, because the mean of its divisors is an integer number (6914869).

Almost surely, 257300093 is an apocalyptic number.

It is an amenable number.

57300093 is a deficient number, since it is larger than the sum of its proper divisors (25678335).

57300093 is a wasteful number, since it uses less digits than its factorization.

57300093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16284 (or 16281 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 57300093 is about 7569.6824900388. The cubic root of 57300093 is about 385.5243162706.

The spelling of 57300093 in words is "fifty-seven million, three hundred thousand, ninety-three".

Divisors: 1 3 9 401 1203 3609 15877 47631 142893 6366677 19100031 57300093