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58053984 = 253604729
BaseRepresentation
bin1101110101110…
…1010101100000
311001020110002120
43131131111200
5104330211414
65432144240
71303310412
oct335352540
9131213076
1058053984
112a8518aa
1217538080
13c048291
1479d29b2
15516b2a9
hex375d560

58053984 has 24 divisors (see below), whose sum is σ = 152391960. Its totient is φ = 19351296.

The previous prime is 58053953. The next prime is 58054013. The reversal of 58053984 is 48935085.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302269 + ... + 302460.

It is an arithmetic number, because the mean of its divisors is an integer number (6349665).

Almost surely, 258053984 is an apocalyptic number.

It is an amenable number.

58053984 is an abundant number, since it is smaller than the sum of its proper divisors (94337976).

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

58053984 is a wasteful number, since it uses less digits than its factorization.

58053984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604742 (or 604734 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 58053984 is about 7619.3165047792. The cubic root of 58053984 is about 387.2077218823.

The spelling of 58053984 in words is "fifty-eight million, fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 604729 1209458 1814187 2418916 3628374 4837832 7256748 9675664 14513496 19351328 29026992 58053984