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45539136 = 2632173457
BaseRepresentation
bin1010110110110…
…1111101000000
310011200121221200
42231231331000
543124223021
64304021200
71062035106
oct255557500
9104617850
1045539136
1123784255
1213301800
139585b46
146095c76
153ee8126
hex2b6df40

45539136 has 84 divisors (see below), whose sum is σ = 131571492. Its totient is φ = 15058944.

The previous prime is 45539129. The next prime is 45539159. The reversal of 45539136 is 63193554.

It can be written as a sum of positive squares in 2 ways, for example, as 40449600 + 5089536 = 6360^2 + 2256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (48600) is a multiple of the sum of its prime factors (648).

It is a self number, because there is not a number n which added to its sum of digits gives 45539136.

It is a congruent number.

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, 99420 + ... + 99876.

Almost surely, 245539136 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 45539136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65785746).

45539136 is an abundant number, since it is smaller than the sum of its proper divisors (86032356).

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

45539136 is a wasteful number, since it uses less digits than its factorization.

45539136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 635 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 45539136 is about 6748.2691114092. The cubic root of 45539136 is about 357.1041759859.

It can be divided in two parts, 4553 and 9136, that added together give a square (13689 = 1172).

The spelling of 45539136 in words is "forty-five million, five hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 173 192 288 346 457 519 576 692 914 1038 1371 1384 1557 1828 2076 2742 2768 3114 3656 4113 4152 5484 5536 6228 7312 8226 8304 10968 11072 12456 14624 16452 16608 21936 24912 29248 32904 33216 43872 49824 65808 79061 87744 99648 131616 158122 237183 263232 316244 474366 632488 711549 948732 1264976 1423098 1897464 2529952 2846196 3794928 5059904 5692392 7589856 11384784 15179712 22769568 45539136