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52573282240 = 2652337193057
BaseRepresentation
bin110000111101100111…
…001001111111000000
312000200220220110020111
4300331213021333000
51330132230012430
640052443521104
73540546345223
oct607547117700
9160626813214
1052573282240
112032927a096
12a232829194
134c5ac1993b
14278a3b95ba
15157a748c2a
hexc3d9c9fc0

52573282240 has 112 divisors (see below), whose sum is σ = 134164498752. Its totient is φ = 19571245056.

The previous prime is 52573282193. The next prime is 52573282291. The reversal of 52573282240 is 4228237525.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 52573282193 and 52573282202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175792 + ... + 368848.

Almost surely, 252573282240 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 52573282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67082249376).

52573282240 is an abundant number, since it is smaller than the sum of its proper divisors (81591216512).

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

52573282240 is a wasteful number, since it uses less digits than its factorization.

52573282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193134 (or 193124 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 52573282240 in words is "fifty-two billion, five hundred seventy-three million, two hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 37 40 46 64 74 80 92 115 148 160 184 185 230 296 320 368 370 460 592 736 740 851 920 1184 1472 1480 1702 1840 2368 2960 3404 3680 4255 5920 6808 7360 8510 11840 13616 17020 27232 34040 54464 68080 136160 193057 272320 386114 772228 965285 1544456 1930570 3088912 3861140 4440311 6177824 7143109 7722280 8880622 12355648 14286218 15444560 17761244 22201555 28572436 30889120 35522488 35715545 44403110 57144872 61778240 71044976 71431090 88806220 114289744 142089952 142862180 164291507 177612440 228579488 284179904 285724360 328583014 355224880 457158976 571448720 657166028 710449760 821457535 1142897440 1314332056 1420899520 1642915070 2285794880 2628664112 3285830140 5257328224 6571660280 10514656448 13143320560 26286641120 52573282240