Base | Representation |
---|---|
bin | 1011000110101… |
… | …11101010000000 |
3 | 20111021220202220 |
4 | 11203113222000 |
5 | 142322024031 |
6 | 13124411040 |
7 | 2210554500 |
oct | 543275200 |
9 | 214256686 |
10 | 93158016 |
11 | 48648aa6 |
12 | 27246a80 |
13 | 163b94b3 |
14 | c52da00 |
15 | 82a2596 |
hex | 58d7a80 |
93158016 has 96 divisors (see below), whose sum is σ = 287909280. Its totient is φ = 26611200.
The previous prime is 93158003. The next prime is 93158017. The reversal of 93158016 is 61085139.
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (93158017) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16341 + ... + 21291.
It is an arithmetic number, because the mean of its divisors is an integer number (2999055).
Almost surely, 293158016 is an apocalyptic number.
93158016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 93158016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143954640).
93158016 is an abundant number, since it is smaller than the sum of its proper divisors (194751264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
93158016 is a wasteful number, since it uses less digits than its factorization.
93158016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4982 (or 4963 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 33.
The square root of 93158016 is about 9651.8400318281. The cubic root of 93158016 is about 453.3219451195.
The spelling of 93158016 in words is "ninety-three million, one hundred fifty-eight thousand, sixteen".
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