Search a number
-
+
52646568 = 233131983107
BaseRepresentation
bin1100100011010…
…1001010101000
310200001201111220
43020311022220
5101434142233
65120222040
71206326352
oct310651250
9120051456
1052646568
1127799167
121576a920
13aba3c20
146dc60d2
15494deb3
hex32352a8

52646568 has 128 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 15019776.

The previous prime is 52646557. The next prime is 52646621. The reversal of 52646568 is 86564625.

It is a super-2 number, since 2×526465682 = 5543322244357248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491971 + ... + 492077.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 252646568 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 52646568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

52646568 is an abundant number, since it is smaller than the sum of its proper divisors (99763032).

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

52646568 is a wasteful number, since it uses less digits than its factorization.

52646568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 227 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 52646568 is about 7255.7954767207. The cubic root of 52646568 is about 374.7917492613.

The spelling of 52646568 in words is "fifty-two million, six hundred forty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 83 104 107 114 152 156 166 214 228 247 249 312 321 332 428 456 494 498 642 664 741 856 988 996 1079 1284 1391 1482 1577 1976 1992 2033 2158 2568 2782 2964 3154 3237 4066 4173 4316 4731 5564 5928 6099 6308 6474 8132 8346 8632 8881 9462 11128 12198 12616 12948 16264 16692 17762 18924 20501 24396 25896 26429 26643 33384 35524 37848 41002 48792 52858 53286 61503 71048 79287 82004 105716 106572 115453 123006 158574 164008 168739 211432 213144 230906 246012 317148 337478 346359 461812 492024 506217 634296 674956 692718 923624 1012434 1349912 1385436 2024868 2193607 2770872 4049736 4387214 6580821 8774428 13161642 17548856 26323284 52646568