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52525120 = 2651953163
BaseRepresentation
bin1100100001011…
…1100001000000
310122211112220211
43020113201000
5101421300440
65113443504
71205312314
oct310274100
9118745824
1052525120
112771599a
1215710594
13ab6086b
146d93b44
154927eea
hex3217840

52525120 has 112 divisors (see below), whose sum is σ = 134965440. Its totient is φ = 19408896.

The previous prime is 52525097. The next prime is 52525133. The reversal of 52525120 is 2152525.

It is a junction number, because it is equal to n+sod(n) for n = 52525091 and 52525100.

It is a congruent number.

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, 322159 + ... + 322321.

Almost surely, 252525120 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 52525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67482720).

52525120 is an abundant number, since it is smaller than the sum of its proper divisors (82440320).

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

52525120 is a wasteful number, since it uses less digits than its factorization.

52525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 52525120 is about 7247.4216104764. The cubic root of 52525120 is about 374.5033306240.

Adding to 52525120 its reverse (2152525), we get a palindrome (54677645).

The spelling of 52525120 in words is "fifty-two million, five hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 53 64 76 80 95 106 152 160 163 190 212 265 304 320 326 380 424 530 608 652 760 815 848 1007 1060 1216 1304 1520 1630 1696 2014 2120 2608 3040 3097 3260 3392 4028 4240 5035 5216 6080 6194 6520 8056 8480 8639 10070 10432 12388 13040 15485 16112 16960 17278 20140 24776 26080 30970 32224 34556 40280 43195 49552 52160 61940 64448 69112 80560 86390 99104 123880 138224 161120 164141 172780 198208 247760 276448 322240 328282 345560 495520 552896 656564 691120 820705 991040 1313128 1382240 1641410 2626256 2764480 3282820 5252512 6565640 10505024 13131280 26262560 52525120