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52632580 = 225711213239
BaseRepresentation
bin1100100011000…
…1110000000100
310200001000022211
43020301300010
5101433220310
65120033204
71206240520
oct310616004
9120030284
1052632580
1127789700
1215762804
13ab9a750
146dc0d80
154949c8a
hex3231c04

52632580 has 144 divisors (see below), whose sum is σ = 150151680. Its totient is φ = 15079680.

The previous prime is 52632577. The next prime is 52632581. The reversal of 52632580 is 8523625.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (52632581) 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, 220101 + ... + 220339.

It is an arithmetic number, because the mean of its divisors is an integer number (1042720).

Almost surely, 252632580 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 52632580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75075840).

52632580 is an abundant number, since it is smaller than the sum of its proper divisors (97519100).

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

52632580 is a wasteful number, since it uses less digits than its factorization.

52632580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 52632580 is about 7254.8314935634. The cubic root of 52632580 is about 374.7585527234.

The spelling of 52632580 in words is "fifty-two million, six hundred thirty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 239 242 260 286 308 364 385 455 478 484 572 605 715 770 847 910 956 1001 1195 1210 1430 1540 1573 1673 1694 1820 2002 2390 2420 2629 2860 3107 3146 3346 3388 4004 4235 4780 5005 5258 6214 6292 6692 7865 8365 8470 10010 10516 11011 12428 13145 15535 15730 16730 16940 18403 20020 21749 22022 26290 28919 31070 31460 33460 34177 36806 43498 44044 52580 55055 57838 62140 68354 73612 86996 92015 108745 110110 115676 136708 144595 170885 184030 202433 217490 220220 239239 289190 341770 368060 375947 404866 434980 478478 578380 683540 751894 809732 956956 1012165 1196195 1503788 1879735 2024330 2392390 2631629 3759470 4048660 4784780 5263258 7518940 10526516 13158145 26316290 52632580