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52105260 = 22354159359
BaseRepresentation
bin1100011011000…
…1000000101100
310122001012222110
43012301000230
5101314332020
65100444020
71201613244
oct306610054
9118035873
1052105260
11274594a9
1215549610
13aa4471c
146cc4b24
1548938e0
hex31b102c

52105260 has 96 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 13288960.

The previous prime is 52105259. The next prime is 52105279. The reversal of 52105260 is 6250125.

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, 144961 + ... + 145319.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 252105260 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 52105260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

52105260 is an abundant number, since it is smaller than the sum of its proper divisors (100304340).

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

52105260 is a wasteful number, since it uses less digits than its factorization.

52105260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 52105260 is about 7218.3973290475. The cubic root of 52105260 is about 373.5027947369.

Adding to 52105260 its reverse (6250125), we get a palindrome (58355385).

The spelling of 52105260 in words is "fifty-two million, one hundred five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 59 60 82 118 123 164 177 205 236 246 295 354 359 410 492 590 615 708 718 820 885 1077 1180 1230 1436 1770 1795 2154 2419 2460 3540 3590 4308 4838 5385 7180 7257 9676 10770 12095 14514 14719 21181 21540 24190 29028 29438 36285 42362 44157 48380 58876 63543 72570 73595 84724 88314 105905 127086 145140 147190 176628 211810 220785 254172 294380 317715 423620 441570 635430 868421 883140 1270860 1736842 2605263 3473684 4342105 5210526 8684210 10421052 13026315 17368420 26052630 52105260