Base | Representation |
---|---|
bin | 1010111101110… |
… | …01100010000000 |
3 | 20102002101010200 |
4 | 11132321202000 |
5 | 142022023143 |
6 | 13043325200 |
7 | 2164603620 |
oct | 536714200 |
9 | 212071120 |
10 | 91986048 |
11 | 47a18530 |
12 | 26980800 |
13 | 16098c1b |
14 | c306880 |
15 | 81201d3 |
hex | 57b9880 |
91986048 has 384 divisors, whose sum is σ = 355155840. Its totient is φ = 22118400.
The previous prime is 91986019. The next prime is 91986071. The reversal of 91986048 is 84068919.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×919860482 = 16922866053316608, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 91985994 and 91986012.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1507938 + ... + 1507998.
It is an arithmetic number, because the mean of its divisors is an integer number (924885).
Almost surely, 291986048 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 91986048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177577920).
91986048 is an abundant number, since it is smaller than the sum of its proper divisors (263169792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
91986048 is a wasteful number, since it uses less digits than its factorization.
91986048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 116 (or 101 counting only the distinct ones).
The product of its (nonzero) digits is 124416, while the sum is 45.
The square root of 91986048 is about 9590.9357207730. The cubic root of 91986048 is about 451.4129219898.
The spelling of 91986048 in words is "ninety-one million, nine hundred eighty-six thousand, forty-eight".
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