Search a number
-
+
52600968 = 23337191831
BaseRepresentation
bin1100100010101…
…0000010001000
310122222101222000
43020222002020
5101431212333
65115231000
71206046410
oct310520210
9118871860
1052600968
1127767982
1215748460
13ab89244
146db3640
154940713
hex322a088

52600968 has 128 divisors (see below), whose sum is σ = 175872000. Its totient is φ = 14230080.

The previous prime is 52600957. The next prime is 52600973. The reversal of 52600968 is 86900625.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 27813 + ... + 29643.

It is an arithmetic number, because the mean of its divisors is an integer number (1374000).

Almost surely, 252600968 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 52600968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87936000).

52600968 is an abundant number, since it is smaller than the sum of its proper divisors (123271032).

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

52600968 is a wasteful number, since it uses less digits than its factorization.

52600968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 52600968 is about 7252.6524802999. The cubic root of 52600968 is about 374.6835089643.

The spelling of 52600968 in words is "fifty-two million, six hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 1831 2052 2394 3192 3591 3662 4104 4788 5493 7182 7324 9576 10986 12817 14364 14648 16479 21972 25634 28728 32958 34789 38451 43944 49437 51268 65916 69578 76902 98874 102536 104367 115353 131832 139156 153804 197748 208734 230706 243523 278312 307608 313101 346059 395496 417468 461412 487046 626202 692118 730569 834936 922824 939303 974092 1252404 1384236 1461138 1878606 1948184 2191707 2504808 2768472 2922276 3757212 4383414 5844552 6575121 7514424 8766828 13150242 17533656 26300484 52600968