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58488096 = 253718581
BaseRepresentation
bin1101111100011…
…1010100100000
311002001111120210
43133013110200
5104433104341
65445334120
71310066142
oct337072440
9132044523
1058488096
1130018a77
1217707340
13c16aa54
147aa6c92
155204c16
hex37c7520

58488096 has 48 divisors (see below), whose sum is σ = 155711808. Its totient is φ = 19219200.

The previous prime is 58488043. The next prime is 58488107. The reversal of 58488096 is 69088485.

58488096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2526 + ... + 11106.

It is an arithmetic number, because the mean of its divisors is an integer number (3243996).

Almost surely, 258488096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58488096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77855904).

58488096 is an abundant number, since it is smaller than the sum of its proper divisors (97223712).

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

58488096 is a wasteful number, since it uses less digits than its factorization.

58488096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8665 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 58488096 is about 7647.7510419731. The cubic root of 58488096 is about 388.1704710224.

The spelling of 58488096 in words is "fifty-eight million, four hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 8581 17162 25743 34324 51486 68648 102972 137296 205944 274592 411888 609251 823776 1218502 1827753 2437004 3655506 4874008 7311012 9748016 14622024 19496032 29244048 58488096