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58090944 = 2632910433
BaseRepresentation
bin1101110110011…
…0010111000000
311001022022210110
43131212113000
5104332402234
65433031320
71303523232
oct335462700
9131268713
1058090944
112a87764a
1217555540
13c05c052
147a02252
1551771e9
hex37665c0

58090944 has 56 divisors (see below), whose sum is σ = 159014160. Its totient is φ = 18694144.

The previous prime is 58090937. The next prime is 58091009. The reversal of 58090944 is 44909085.

58090944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×580909442 = 6749115549622272, which contains 22 as substring.

It is a congruent number.

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, 352 + ... + 10784.

Almost surely, 258090944 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 58090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79507080).

58090944 is an abundant number, since it is smaller than the sum of its proper divisors (100923216).

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

58090944 is a wasteful number, since it uses less digits than its factorization.

58090944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10477 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 58090944 is about 7621.7415332718. The cubic root of 58090944 is about 387.2898762291.

The spelling of 58090944 in words is "fifty-eight million, ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 10433 20866 31299 41732 62598 83464 125196 166928 250392 302557 333856 500784 605114 667712 907671 1001568 1210228 1815342 2003136 2420456 3630684 4840912 7261368 9681824 14522736 19363648 29045472 58090944