Base | Representation |
---|---|
bin | 1101111100010… |
… | …1100100011000 |
3 | 11002001010202000 |
4 | 3133011210120 |
5 | 104432342140 |
6 | 5445241000 |
7 | 1310036211 |
oct | 337054430 |
9 | 132033660 |
10 | 58480920 |
11 | 30013643 |
12 | 17703160 |
13 | c1676c4 |
14 | 7aa4408 |
15 | 5202a30 |
hex | 37c5918 |
58480920 has 128 divisors (see below), whose sum is σ = 196689600. Its totient is φ = 15455232.
The previous prime is 58480913. The next prime is 58480931. The reversal of 58480920 is 2908485.
58480920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 31 ways as a sum of consecutive naturals, for example, 186684 + ... + 186996.
Almost surely, 258480920 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 58480920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98344800).
58480920 is an abundant number, since it is smaller than the sum of its proper divisors (138208680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
58480920 is a wasteful number, since it uses less digits than its factorization.
58480920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 506 (or 496 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The square root of 58480920 is about 7647.2818700503. The cubic root of 58480920 is about 388.1545952834.
The spelling of 58480920 in words is "fifty-eight million, four hundred eighty thousand, nine hundred twenty".
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