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58049064 = 23326113217
BaseRepresentation
bin1101110101110…
…0001000101000
311001020012100100
43131130020220
5104330032224
65432105400
71303260153
oct335341050
9131205310
1058049064
112a849137
1217535260
13c045c78
1479d0c9a
155169ac9
hex375c228

58049064 has 48 divisors (see below), whose sum is σ = 159805620. Its totient is φ = 19031040.

The previous prime is 58049063. The next prime is 58049087. The reversal of 58049064 is 46094085.

It can be written as a sum of positive squares in 2 ways, for example, as 51236964 + 6812100 = 7158^2 + 2610^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (58049063) 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, 2217 + ... + 11000.

Almost surely, 258049064 is an apocalyptic number.

It is an amenable number.

58049064 is an abundant number, since it is smaller than the sum of its proper divisors (101756556).

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

58049064 is a wasteful number, since it uses less digits than its factorization.

58049064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13290 (or 13283 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 58049064 is about 7618.9936343326. The cubic root of 58049064 is about 387.1967831222.

The spelling of 58049064 in words is "fifty-eight million, forty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 13217 26434 39651 52868 79302 105736 118953 158604 237906 317208 475812 806237 951624 1612474 2418711 3224948 4837422 6449896 7256133 9674844 14512266 19349688 29024532 58049064