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52264134 = 232131491499
BaseRepresentation
bin1100011101011…
…1110011000110
310122100021220200
43013113303012
5101334423014
65104111330
71203144366
oct307276306
9118307820
1052264134
11275578aa
1215605546
13aa9bb30
146d269a6
1548c5a09
hex31d7cc6

52264134 has 48 divisors (see below), whose sum is σ = 122850000. Its totient is φ = 15962688.

The previous prime is 52264133. The next prime is 52264189. The reversal of 52264134 is 43146225.

52264134 is a `hidden beast` number, since 522 + 6 + 4 + 134 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 52264098 and 52264107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52264133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34117 + ... + 35615.

It is an arithmetic number, because the mean of its divisors is an integer number (2559375).

Almost surely, 252264134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52264134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61425000).

52264134 is an abundant number, since it is smaller than the sum of its proper divisors (70585866).

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

52264134 is a wasteful number, since it uses less digits than its factorization.

52264134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1666 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 52264134 is about 7229.3937505160. The cubic root of 52264134 is about 373.8820249972.

The spelling of 52264134 in words is "fifty-two million, two hundred sixty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 234 298 447 894 1341 1499 1937 2682 2998 3874 4497 5811 8994 11622 13491 17433 19487 26982 34866 38974 58461 116922 175383 223351 350766 446702 670053 1340106 2010159 2903563 4020318 5807126 8710689 17421378 26132067 52264134