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45310968 = 2333892357
BaseRepresentation
bin1010110011011…
…0001111111000
310011021000222000
42230312033320
543044422333
64255101000
71060064643
oct254661770
9104230860
1045310968
112363888a
1213211760
139506031
146036a5a
153ea0713
hex2b363f8

45310968 has 64 divisors (see below), whose sum is σ = 127332000. Its totient is φ = 14927616.

The previous prime is 45310957. The next prime is 45310981. The reversal of 45310968 is 86901354.

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

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, 18046 + ... + 20402.

Almost surely, 245310968 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 45310968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63666000).

45310968 is an abundant number, since it is smaller than the sum of its proper divisors (82021032).

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

45310968 is a wasteful number, since it uses less digits than its factorization.

45310968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 45310968 is about 6731.3422138530. The cubic root of 45310968 is about 356.5067689047.

The spelling of 45310968 in words is "forty-five million, three hundred ten thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1602 2136 2357 2403 3204 4714 4806 6408 7071 9428 9612 14142 18856 19224 21213 28284 42426 56568 63639 84852 127278 169704 209773 254556 419546 509112 629319 839092 1258638 1678184 1887957 2517276 3775914 5034552 5663871 7551828 11327742 15103656 22655484 45310968