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45054456 = 23337113449
BaseRepresentation
bin1010101111011…
…1100111111000
310010210000002120
42223313213320
543013220311
64245401240
71054646046
oct253674770
9103700076
1045054456
1123483097
1213109220
139446355
145dab396
153e4e706
hex2af79f8

45054456 has 64 divisors (see below), whose sum is σ = 116964000. Its totient is φ = 14450688.

The previous prime is 45054433. The next prime is 45054461. The reversal of 45054456 is 65445054.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100120 + ... + 100568.

Almost surely, 245054456 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 45054456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58482000).

45054456 is an abundant number, since it is smaller than the sum of its proper divisors (71909544).

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

45054456 is a wasteful number, since it uses less digits than its factorization.

45054456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 45054456 is about 6712.2616158788. The cubic root of 45054456 is about 355.8327497841.

The spelling of 45054456 in words is "forty-five million, fifty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 113 148 222 226 296 339 444 449 452 678 888 898 904 1347 1356 1796 2694 2712 3592 4181 5388 8362 10776 12543 16613 16724 25086 33226 33448 49839 50172 50737 66452 99678 100344 101474 132904 152211 199356 202948 304422 398712 405896 608844 1217688 1877269 3754538 5631807 7509076 11263614 15018152 22527228 45054456