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58000957 = 761729
BaseRepresentation
bin1101110101000…
…0011000111101
311001010202100121
43131100120331
5104322012312
65431054541
71303000000
oct335203075
9131122317
1058000957
112a815a83
1217511451
13c02a0c1
1479bb537
15515a707
hex375063d

58000957 has 28 divisors (see below), whose sum is σ = 74118780. Its totient is φ = 45177216.

The previous prime is 58000951. The next prime is 58001039. The reversal of 58000957 is 75900085.

It can be written as a sum of positive squares in 2 ways, for example, as 38118276 + 19882681 = 6174^2 + 4459^2 .

It is not a de Polignac number, because 58000957 - 23 = 58000949 is a prime.

It is a super-2 number, since 2×580009572 = 6728222025831698, which contains 22 as substring.

58000957 is a modest number, since divided by 957 gives 58 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58000951) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2000019 + ... + 2000047.

Almost surely, 258000957 is an apocalyptic number.

It is an amenable number.

58000957 is a deficient number, since it is larger than the sum of its proper divisors (16117823).

58000957 is an frugal number, since it uses more digits than its factorization.

58000957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 58000957 is about 7615.8359357329. The cubic root of 58000957 is about 387.0897930332.

The spelling of 58000957 in words is "fifty-eight million, nine hundred fifty-seven", and thus it is an aban number.

Divisors: 1 7 17 29 49 119 203 343 493 833 1421 2401 3451 5831 9947 16807 24157 40817 69629 117649 169099 285719 487403 1183693 2000033 3411821 8285851 58000957