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45108896 = 257277727
BaseRepresentation
bin1010110000010…
…0111010100000
310010212202202212
42230010322200
543021441041
64250501252
71055263550
oct254047240
9103782685
1045108896
112350aa88
1213134828
139465071
145dc3160
153e608eb
hex2b04ea0

45108896 has 48 divisors (see below), whose sum is σ = 102001536. Its totient is φ = 19236096.

The previous prime is 45108881. The next prime is 45108901. The reversal of 45108896 is 69880154.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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, 61685 + ... + 62411.

It is an arithmetic number, because the mean of its divisors is an integer number (2125032).

Almost surely, 245108896 is an apocalyptic number.

45108896 is the 3878-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45108896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51000768).

45108896 is an abundant number, since it is smaller than the sum of its proper divisors (56892640).

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

45108896 is a wasteful number, since it uses less digits than its factorization.

45108896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 45108896 is about 6716.3156566677. The cubic root of 45108896 is about 355.9760115133.

The spelling of 45108896 in words is "forty-five million, one hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 277 554 727 1108 1454 1939 2216 2908 3878 4432 5089 5816 7756 8864 10178 11632 15512 20356 23264 31024 40712 62048 81424 162848 201379 402758 805516 1409653 1611032 2819306 3222064 5638612 6444128 11277224 22554448 45108896