Search a number
-
+
52563104 = 2511314817
BaseRepresentation
bin1100100010000…
…0110010100000
310122220111000122
43020200302200
5101424004404
65114335412
71205531126
oct310406240
9118814018
1052563104
1127741490
121572a568
13ab74c39
146da3916
1549343be
hex3220ca0

52563104 has 48 divisors (see below), whose sum is σ = 116557056. Its totient is φ = 23116800.

The previous prime is 52563097. The next prime is 52563149. The reversal of 52563104 is 40136525.

It is a super-2 number, since 2×525631042 = 5525759804229632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8504 + ... + 13320.

It is an arithmetic number, because the mean of its divisors is an integer number (2428272).

Almost surely, 252563104 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 52563104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58278528).

52563104 is an abundant number, since it is smaller than the sum of its proper divisors (63993952).

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

52563104 is a wasteful number, since it uses less digits than its factorization.

52563104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 52563104 is about 7250.0416550527. The cubic root of 52563104 is about 374.5935839915.

Adding to 52563104 its reverse (40136525), we get a palindrome (92699629).

The spelling of 52563104 in words is "fifty-two million, five hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 4817 5456 9634 10912 19268 38536 52987 77072 105974 149327 154144 211948 298654 423896 597308 847792 1194616 1642597 1695584 2389232 3285194 4778464 6570388 13140776 26281552 52563104