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52800720 = 2435753593
BaseRepresentation
bin1100100101101…
…0110011010000
310200100112222020
43021122303100
5102004110340
65123411440
71210540650
oct311326320
9120315866
1052800720
1127893a65
1215823b80
13ac2913b
147026360
15497e9d0
hex325acd0

52800720 has 160 divisors (see below), whose sum is σ = 190916352. Its totient is φ = 11821056.

The previous prime is 52800703. The next prime is 52800731. The reversal of 52800720 is 2700825.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 88744 + ... + 89336.

Almost surely, 252800720 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 52800720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95458176).

52800720 is an abundant number, since it is smaller than the sum of its proper divisors (138115632).

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

52800720 is a wasteful number, since it uses less digits than its factorization.

52800720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 52800720 is about 7266.4103930345. The cubic root of 52800720 is about 375.1571963179.

The spelling of 52800720 in words is "fifty-two million, eight hundred thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 240 265 280 318 336 371 420 424 530 560 593 636 742 795 840 848 1060 1113 1186 1272 1484 1590 1680 1779 1855 2120 2226 2372 2544 2965 2968 3180 3558 3710 4151 4240 4452 4744 5565 5930 5936 6360 7116 7420 8302 8895 8904 9488 11130 11860 12453 12720 14232 14840 16604 17790 17808 20755 22260 23720 24906 28464 29680 31429 33208 35580 41510 44520 47440 49812 62265 62858 66416 71160 83020 89040 94287 99624 124530 125716 142320 157145 166040 188574 199248 220003 249060 251432 314290 332080 377148 440006 471435 498120 502864 628580 660009 754296 880012 942870 996240 1100015 1257160 1320018 1508592 1760024 1885740 2200030 2514320 2640036 3300045 3520048 3771480 4400060 5280072 6600090 7542960 8800120 10560144 13200180 17600240 26400360 52800720