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45720072 = 23331712451
BaseRepresentation
bin1010111001101…
…0001000001000
310012000211011000
42232122020020
543201020242
64311535000
71063420446
oct256321010
9105024130
1045720072
1123898192
121338a460
13961a2c8
146101b96
154031a4c
hex2b9a208

45720072 has 64 divisors (see below), whose sum is σ = 134481600. Its totient is φ = 14342400.

The previous prime is 45720041. The next prime is 45720083. The reversal of 45720072 is 27002754.

45720072 is a `hidden beast` number, since 457 + 200 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2554 + ... + 9897.

It is an arithmetic number, because the mean of its divisors is an integer number (2101275).

Almost surely, 245720072 is an apocalyptic number.

It is an amenable number.

45720072 is an abundant number, since it is smaller than the sum of its proper divisors (88761528).

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

45720072 is a wasteful number, since it uses less digits than its factorization.

45720072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12483 (or 12473 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 45720072 is about 6761.6619258877. The cubic root of 45720072 is about 357.5764995142.

The spelling of 45720072 in words is "forty-five million, seven hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 12451 24902 37353 49804 74706 99608 112059 149412 211667 224118 298824 336177 423334 448236 635001 672354 846668 896472 1270002 1344708 1693336 1905003 2540004 2689416 3810006 5080008 5715009 7620012 11430018 15240024 22860036 45720072