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45567968 = 2523101613
BaseRepresentation
bin1010110111010…
…0111111100000
310011202002111112
42231310333200
543131133333
64304402452
71062215135
oct255647740
9104662445
1045567968
11237a3986
1213316428
139595cc4
1460a258c
154001948
hex2b74fe0

45567968 has 48 divisors (see below), whose sum is σ = 94693536. Its totient is φ = 21542400.

The previous prime is 45567943. The next prime is 45567989. The reversal of 45567968 is 86976554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74030 + ... + 74642.

It is an arithmetic number, because the mean of its divisors is an integer number (1972782).

Almost surely, 245567968 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 45567968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47346768).

45567968 is an abundant number, since it is smaller than the sum of its proper divisors (49125568).

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

45567968 is a wasteful number, since it uses less digits than its factorization.

45567968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 739 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 50.

The square root of 45567968 is about 6750.4050248855. The cubic root of 45567968 is about 357.1795240373.

The spelling of 45567968 in words is "forty-five million, five hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 101 184 202 368 404 613 736 808 1226 1616 2323 2452 3232 4646 4904 9292 9808 14099 18584 19616 28198 37168 56396 61913 74336 112792 123826 225584 247652 451168 495304 990608 1423999 1981216 2847998 5695996 11391992 22783984 45567968