Search a number
-
+
52565968 = 2471379457
BaseRepresentation
bin1100100010000…
…1011111010000
310122220121221201
43020201133100
5101424102333
65114400544
71205542360
oct310413720
9118817851
1052565968
1127743654
1215730154
13ab76330
146da49a0
15493517d
hex32217d0

52565968 has 80 divisors (see below), whose sum is σ = 127214080. Its totient is φ = 20487168.

The previous prime is 52565963. The next prime is 52566001. The reversal of 52565968 is 86956525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52565963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 114796 + ... + 115252.

It is an arithmetic number, because the mean of its divisors is an integer number (1590176).

Almost surely, 252565968 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 52565968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63607040).

52565968 is an abundant number, since it is smaller than the sum of its proper divisors (74648112).

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

52565968 is a wasteful number, since it uses less digits than its factorization.

52565968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 558 counting only the distinct ones).

The product of its digits is 648000, while the sum is 46.

The square root of 52565968 is about 7250.2391684689. The cubic root of 52565968 is about 374.6003873476.

The spelling of 52565968 in words is "fifty-two million, five hundred sixty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 79 91 104 112 158 182 208 316 364 457 553 632 728 914 1027 1106 1264 1456 1828 2054 2212 3199 3656 4108 4424 5941 6398 7189 7312 8216 8848 11882 12796 14378 16432 23764 25592 28756 36103 41587 47528 51184 57512 72206 83174 95056 115024 144412 166348 252721 288824 332696 469339 505442 577648 665392 938678 1010884 1877356 2021768 3285373 3754712 4043536 6570746 7509424 13141492 26282984 52565968