Base | Representation |
---|---|
bin | 1101100110011… |
… | …1011110100000 |
3 | 10222100021200210 |
4 | 3121213132200 |
5 | 104101000234 |
6 | 5354414120 |
7 | 1261614423 |
oct | 331473640 |
9 | 128307623 |
10 | 57046944 |
11 | 2a224239 |
12 | 17131340 |
13 | ba84ab6 |
14 | 780d9ba |
15 | 501cbe9 |
hex | 36677a0 |
57046944 has 96 divisors (see below), whose sum is σ = 160151040. Its totient is φ = 17740800.
The previous prime is 57046919. The next prime is 57046967. The reversal of 57046944 is 44964075.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85974 + ... + 86634.
It is an arithmetic number, because the mean of its divisors is an integer number (1668240).
Almost surely, 257046944 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 57046944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80075520).
57046944 is an abundant number, since it is smaller than the sum of its proper divisors (103104096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57046944 is a wasteful number, since it uses less digits than its factorization.
57046944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 734 (or 726 counting only the distinct ones).
The product of its (nonzero) digits is 120960, while the sum is 39.
The square root of 57046944 is about 7552.9427377678. The cubic root of 57046944 is about 384.9557356205.
The spelling of 57046944 in words is "fifty-seven million, forty-six thousand, nine hundred forty-four".
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