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58730896 = 2471274129
BaseRepresentation
bin1110000000001…
…0100110010000
311002111211122101
43200002212100
5110013342041
65454450144
71312130050
oct340024620
9132454571
1058730896
1130174434
1217803954
13c224413
147b2b560
155251b31
hex3802990

58730896 has 40 divisors (see below), whose sum is σ = 131102720. Its totient is φ = 24966144.

The previous prime is 58730879. The next prime is 58730897. The reversal of 58730896 is 69803785.

It is not an unprimeable number, because it can be changed into a prime (58730897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12160 + ... + 16288.

It is an arithmetic number, because the mean of its divisors is an integer number (3277568).

Almost surely, 258730896 is an apocalyptic number.

58730896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58730896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65551360).

58730896 is an abundant number, since it is smaller than the sum of its proper divisors (72371824).

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

58730896 is a wasteful number, since it uses less digits than its factorization.

58730896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 58730896 is about 7663.6085495020. The cubic root of 58730896 is about 388.7068632154.

The spelling of 58730896 in words is "fifty-eight million, seven hundred thirty thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 889 1016 1778 2032 3556 4129 7112 8258 14224 16516 28903 33032 57806 66064 115612 231224 462448 524383 1048766 2097532 3670681 4195064 7341362 8390128 14682724 29365448 58730896