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58490880 = 21535717
BaseRepresentation
bin1101111100100…
…0000000000000
311002001122101220
43133020000000
5104433202010
65445355040
71310110230
oct337100000
9132048356
1058490880
1130020078
1217708a80
13c16c0b6
147aa7cc0
155205970
hex37c8000

58490880 has 256 divisors, whose sum is σ = 226488960. Its totient is φ = 12582912.

The previous prime is 58490869. The next prime is 58490881. The reversal of 58490880 is 8809485.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58490881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3440632 + ... + 3440648.

Almost surely, 258490880 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 58490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113244480).

58490880 is an abundant number, since it is smaller than the sum of its proper divisors (167998080).

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

58490880 is an equidigital number, since it uses as much as digits as its factorization.

58490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 58490880 is about 7647.9330541003. The cubic root of 58490880 is about 388.1766298223.

The spelling of 58490880 in words is "fifty-eight million, four hundred ninety thousand, eight hundred eighty".