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58421520 = 24335173743
BaseRepresentation
bin1101111011011…
…1000100010000
311001221010021000
43132313010100
5104423442040
65444102000
71306401063
oct336670420
9131833230
1058421520
112aa82a53
1217694900
13c146661
147a8a8da
1551e0130
hex37b7110

58421520 has 320 divisors, whose sum is σ = 223914240. Its totient is φ = 13934592.

The previous prime is 58421513. The next prime is 58421543. The reversal of 58421520 is 2512485.

It is a happy number.

58421520 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 2×584215202 = 6826147998220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 1358619 + ... + 1358661.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 258421520 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 58421520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111957120).

58421520 is an abundant number, since it is smaller than the sum of its proper divisors (165492720).

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

58421520 is a wasteful number, since it uses less digits than its factorization.

58421520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 58421520 is about 7643.3971504822. The cubic root of 58421520 is about 388.0231324997.

The spelling of 58421520 in words is "fifty-eight million, four hundred twenty-one thousand, five hundred twenty".