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45923256 = 23321722207
BaseRepresentation
bin1010111100101…
…1101110111000
310012102010212100
42233023232320
543224021011
64320143400
71065225021
oct257135670
9105363770
1045923256
1123a16905
1213467b60
13968b932
146155c48
154071d56
hex2bcbbb8

45923256 has 72 divisors (see below), whose sum is σ = 132181920. Its totient is φ = 14400768.

The previous prime is 45923243. The next prime is 45923279. The reversal of 45923256 is 65232954.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45923256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19705 + ... + 21911.

It is an arithmetic number, because the mean of its divisors is an integer number (1835860).

Almost surely, 245923256 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 45923256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66090960).

45923256 is an abundant number, since it is smaller than the sum of its proper divisors (86258664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45923256 is a wasteful number, since it uses less digits than its factorization.

45923256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2229 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 45923256 is about 6776.6699786842. The cubic root of 45923256 is about 358.1054171835.

The spelling of 45923256 in words is "forty-five million, nine hundred twenty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2207 2312 2601 3468 4414 5202 6621 6936 8828 10404 13242 17656 19863 20808 26484 37519 39726 52968 75038 79452 112557 150076 158904 225114 300152 337671 450228 637823 675342 900456 1275646 1350684 1913469 2551292 2701368 3826938 5102584 5740407 7653876 11480814 15307752 22961628 45923256