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45540684 = 22337591021
BaseRepresentation
bin1010110110111…
…0010101001100
310011200201002000
42231232111030
543124300214
64304032300
71062042450
oct255562514
9104621060
1045540684
1123785432
1213302690
139586767
146096660
153ee8809
hex2b6e54c

45540684 has 96 divisors (see below), whose sum is σ = 137356800. Its totient is φ = 12778560.

The previous prime is 45540679. The next prime is 45540731. The reversal of 45540684 is 48604554.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44094 + ... + 45114.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 245540684 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 45540684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68678400).

45540684 is an abundant number, since it is smaller than the sum of its proper divisors (91816116).

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

45540684 is a wasteful number, since it uses less digits than its factorization.

45540684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 45540684 is about 6748.3838065125. The cubic root of 45540684 is about 357.1082222565.

The spelling of 45540684 in words is "forty-five million, five hundred forty thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 84 108 118 126 177 189 236 252 354 378 413 531 708 756 826 1021 1062 1239 1593 1652 2042 2124 2478 3063 3186 3717 4084 4956 6126 6372 7147 7434 9189 11151 12252 14294 14868 18378 21441 22302 27567 28588 36756 42882 44604 55134 60239 64323 85764 110268 120478 128646 180717 192969 240956 257292 361434 385938 421673 542151 722868 771876 843346 1084302 1265019 1626453 1686692 2168604 2530038 3252906 3795057 5060076 6505812 7590114 11385171 15180228 22770342 45540684