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45418968 = 23347171931
BaseRepresentation
bin1010110101000…
…0100111011000
310011110112010000
42231100213120
543111401333
64301253000
71061024550
oct255204730
9104415100
1045418968
1123701a41
1213264160
13954323a
146064160
153ec2713
hex2b509d8

45418968 has 320 divisors, whose sum is σ = 167270400. Its totient is φ = 11197440.

The previous prime is 45418957. The next prime is 45418979. The reversal of 45418968 is 86981454.

It is an interprime number because it is at equal distance from previous prime (45418957) and next prime (45418979).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1465113 + ... + 1465143.

It is an arithmetic number, because the mean of its divisors is an integer number (522720).

Almost surely, 245418968 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 45418968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83635200).

45418968 is an abundant number, since it is smaller than the sum of its proper divisors (121851432).

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

45418968 is a wasteful number, since it uses less digits than its factorization.

45418968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 79 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 45418968 is about 6739.3596134944. The cubic root of 45418968 is about 356.7897922167.

The spelling of 45418968 in words is "forty-five million, four hundred eighteen thousand, nine hundred sixty-eight".