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45081756 = 223217193877
BaseRepresentation
bin1010101111111…
…0010010011100
310010211101112200
42223332102130
543020104011
64250131500
71055121456
oct253762234
9103741480
1045081756
11234a1655
1213120b90
1394558c5
145db72d6
153e57856
hex2afe49c

45081756 has 72 divisors (see below), whose sum is σ = 127043280. Its totient is φ = 13395456.

The previous prime is 45081749. The next prime is 45081763. The reversal of 45081756 is 65718054.

It is an interprime number because it is at equal distance from previous prime (45081749) and next prime (45081763).

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

It is a self number, because there is not a number n which added to its sum of digits gives 45081756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9690 + ... + 13566.

It is an arithmetic number, because the mean of its divisors is an integer number (1764490).

Almost surely, 245081756 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 45081756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63521640).

45081756 is an abundant number, since it is smaller than the sum of its proper divisors (81961524).

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

45081756 is a wasteful number, since it uses less digits than its factorization.

45081756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 45081756 is about 6714.2948996898. The cubic root of 45081756 is about 355.9046055895.

The spelling of 45081756 in words is "forty-five million, eighty-one thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 3877 5814 7754 11628 11631 15508 23262 34893 46524 65909 69786 73663 131818 139572 147326 197727 220989 263636 294652 395454 441978 593181 662967 790908 883956 1186362 1252271 1325934 2372724 2504542 2651868 3756813 5009084 7513626 11270439 15027252 22540878 45081756