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45262260 = 22335791061
BaseRepresentation
bin1010110010101…
…0010110110100
310011011120011000
42230222112310
543041343020
64254043300
71056502641
oct254522664
9104146130
1045262260
112360522a
12131a9530
1394b9b04
146022dc8
153e91090
hex2b2a5b4

45262260 has 96 divisors (see below), whose sum is σ = 142732800. Its totient is φ = 11905920.

The previous prime is 45262247. The next prime is 45262271. The reversal of 45262260 is 6226254.

45262260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42130 + ... + 43190.

It is an arithmetic number, because the mean of its divisors is an integer number (1486800).

Almost surely, 245262260 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 45262260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71366400).

45262260 is an abundant number, since it is smaller than the sum of its proper divisors (97470540).

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

45262260 is a wasteful number, since it uses less digits than its factorization.

45262260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45262260 is about 6727.7232404432. The cubic root of 45262260 is about 356.3789782293.

It can be divided in two parts, 4526 and 2260, that added together give a triangular number (6786 = T116).

The spelling of 45262260 in words is "forty-five million, two hundred sixty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 90 108 135 158 180 237 270 316 395 474 540 711 790 948 1061 1185 1422 1580 2122 2133 2370 2844 3183 3555 4244 4266 4740 5305 6366 7110 8532 9549 10610 10665 12732 14220 15915 19098 21220 21330 28647 31830 38196 42660 47745 57294 63660 83819 95490 114588 143235 167638 190980 251457 286470 335276 419095 502914 572940 754371 838190 1005828 1257285 1508742 1676380 2263113 2514570 3017484 3771855 4526226 5029140 7543710 9052452 11315565 15087420 22631130 45262260