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45928368 = 24323131019
BaseRepresentation
bin1010111100110…
…0111110110000
310012102101212200
42233030332300
543224201433
64320223200
71065245643
oct257147660
9105371780
1045928368
1123a1a732
121346ab00
139691065
146157a5a
154073613
hex2bccfb0

45928368 has 60 divisors (see below), whose sum is σ = 129072840. Its totient is φ = 15245568.

The previous prime is 45928331. The next prime is 45928381. The reversal of 45928368 is 86382954.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44563 + ... + 45581.

It is an arithmetic number, because the mean of its divisors is an integer number (2151214).

Almost surely, 245928368 is an apocalyptic number.

45928368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45928368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64536420).

45928368 is an abundant number, since it is smaller than the sum of its proper divisors (83144472).

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

45928368 is a wasteful number, since it uses less digits than its factorization.

45928368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1337 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 45928368 is about 6777.0471445903. The cubic root of 45928368 is about 358.1187043291.

The spelling of 45928368 in words is "forty-five million, nine hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 313 626 939 1019 1252 1878 2038 2504 2817 3057 3756 4076 5008 5634 6114 7512 8152 9171 11268 12228 15024 16304 18342 22536 24456 36684 45072 48912 73368 146736 318947 637894 956841 1275788 1913682 2551576 2870523 3827364 5103152 5741046 7654728 11482092 15309456 22964184 45928368