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45721980 = 223251929461
BaseRepresentation
bin1010111001101…
…0100101111100
310012000220202200
42232122211330
543201100410
64311551500
71063426143
oct256324574
9105026680
1045721980
1123899667
121338b590
13961b135
14610275a
1540323c0
hex2b9a97c

45721980 has 144 divisors (see below), whose sum is σ = 151351200. Its totient is φ = 11128320.

The previous prime is 45721937. The next prime is 45721981. The reversal of 45721980 is 8912754.

45721980 is a `hidden beast` number, since 4 + 572 + 1 + 9 + 80 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 461 × 261 × 380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45721981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98950 + ... + 99410.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050).

Almost surely, 245721980 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 45721980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75675600).

45721980 is an abundant number, since it is smaller than the sum of its proper divisors (105629220).

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

45721980 is a wasteful number, since it uses less digits than its factorization.

45721980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 45721980 is about 6761.8030139897. The cubic root of 45721980 is about 357.5814735984.

The spelling of 45721980 in words is "forty-five million, seven hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 76 87 90 95 114 116 145 171 174 180 190 228 261 285 290 342 348 380 435 461 522 551 570 580 684 855 870 922 1044 1102 1140 1305 1383 1653 1710 1740 1844 2204 2305 2610 2755 2766 3306 3420 4149 4610 4959 5220 5510 5532 6612 6915 8265 8298 8759 9220 9918 11020 13369 13830 16530 16596 17518 19836 20745 24795 26277 26738 27660 33060 35036 40107 41490 43795 49590 52554 53476 66845 78831 80214 82980 87590 99180 105108 120321 131385 133690 157662 160428 175180 200535 240642 254011 262770 267380 315324 394155 401070 481284 508022 525540 601605 762033 788310 802140 1016044 1203210 1270055 1524066 1576620 2286099 2406420 2540110 3048132 3810165 4572198 5080220 7620330 9144396 11430495 15240660 22860990 45721980