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45540792 = 2334116389
BaseRepresentation
bin1010110110111…
…0010110111000
310011200201020000
42231232112320
543124301132
64304033000
71062042663
oct255562670
9104621200
1045540792
1123785520
1213302760
13958681b
1460966da
153ee887c
hex2b6e5b8

45540792 has 80 divisors (see below), whose sum is σ = 139174200. Its totient is φ = 13798080.

The previous prime is 45540787. The next prime is 45540797. The reversal of 45540792 is 29704554.

45540792 is a `hidden beast` number, since 45 + 540 + 79 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (45540787) and next prime (45540797).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45540797) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3934 + ... + 10322.

Almost surely, 245540792 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 45540792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69587100).

45540792 is an abundant number, since it is smaller than the sum of its proper divisors (93633408).

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

45540792 is a wasteful number, since it uses less digits than its factorization.

45540792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 45540792 is about 6748.3918084237. The cubic root of 45540792 is about 357.1085045511.

The spelling of 45540792 in words is "forty-five million, five hundred forty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 6389 7128 12778 19167 25556 38334 51112 57501 70279 76668 115002 140558 153336 172503 210837 230004 281116 345006 421674 460008 517509 562232 632511 690012 843348 1035018 1265022 1380024 1686696 1897533 2070036 2530044 3795066 4140072 5060088 5692599 7590132 11385198 15180264 22770396 45540792