Base | Representation |
---|---|
bin | 1011100111000… |
… | …01000101100000 |
3 | 20210020222021000 |
4 | 11303201011200 |
5 | 144413002234 |
6 | 13355232000 |
7 | 2261544420 |
oct | 563410540 |
9 | 223228230 |
10 | 97390944 |
11 | 4aa7a292 |
12 | 28748600 |
13 | 1723c0a1 |
14 | cd12480 |
15 | 883b899 |
hex | 5ce1160 |
97390944 has 96 divisors (see below), whose sum is σ = 324656640. Its totient is φ = 27824256.
The previous prime is 97390907. The next prime is 97390957. The reversal of 97390944 is 44909379.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×973909442 = 18969991946422272, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 97390944.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2004 + ... + 14099.
It is an arithmetic number, because the mean of its divisors is an integer number (3381840).
Almost surely, 297390944 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 97390944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162328320).
97390944 is an abundant number, since it is smaller than the sum of its proper divisors (227265696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97390944 is a wasteful number, since it uses less digits than its factorization.
97390944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16129 (or 16115 counting only the distinct ones).
The product of its (nonzero) digits is 244944, while the sum is 45.
The square root of 97390944 is about 9868.6850187854. The cubic root of 97390944 is about 460.0865369644.
The spelling of 97390944 in words is "ninety-seven million, three hundred ninety thousand, nine hundred forty-four".
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