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58048416 = 2532201557
BaseRepresentation
bin1101110101101…
…1111110100000
311001020011110100
43131123332200
5104330022131
65432102400
71303255236
oct335337640
9131204410
1058048416
112a8486a8
1217534a00
13c04589a
1479d0956
1551697e6
hex375bfa0

58048416 has 36 divisors (see below), whose sum is σ = 165076002. Its totient is φ = 19349376.

The previous prime is 58048391. The next prime is 58048423. The reversal of 58048416 is 61484085.

It can be written as a sum of positive squares in only one way, i.e., 40908816 + 17139600 = 6396^2 + 4140^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100491 + ... + 101066.

Almost surely, 258048416 is an apocalyptic number.

It is an amenable number.

58048416 is an abundant number, since it is smaller than the sum of its proper divisors (107027586).

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

58048416 is a wasteful number, since it uses less digits than its factorization.

58048416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201573 (or 201562 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 58048416 is about 7618.9511089126. The cubic root of 58048416 is about 387.1953423614.

The spelling of 58048416 in words is "fifty-eight million, forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 201557 403114 604671 806228 1209342 1612456 1814013 2418684 3224912 3628026 4837368 6449824 7256052 9674736 14512104 19349472 29024208 58048416