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52125906 = 23721071657
BaseRepresentation
bin1100011011011…
…0000011010010
310122002021022010
43012312003102
5101321012111
65101123350
71202030400
oct306660322
9118067263
1052125906
1127472a68
1215559556
13aa50c41
146ccc470
154899aa6
hex31b60d2

52125906 has 48 divisors (see below), whose sum is σ = 122479776. Its totient is φ = 14745024.

The previous prime is 52125833. The next prime is 52125907. The reversal of 52125906 is 60952125.

It is a happy number.

It is a super-2 number, since 2×521259062 = 5434220152641672, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52125907) 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, 30630 + ... + 32286.

It is an arithmetic number, because the mean of its divisors is an integer number (2551662).

Almost surely, 252125906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52125906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61239888).

52125906 is an abundant number, since it is smaller than the sum of its proper divisors (70353870).

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

52125906 is a wasteful number, since it uses less digits than its factorization.

52125906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 52125906 is about 7219.8272832527. The cubic root of 52125906 is about 373.5521200220.

The spelling of 52125906 in words is "fifty-two million, one hundred twenty-five thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 107 147 214 294 321 642 749 1498 1657 2247 3314 4494 4971 5243 9942 10486 11599 15729 23198 31458 34797 69594 81193 162386 177299 243579 354598 487158 531897 1063794 1241093 2482186 3723279 7446558 8687651 17375302 26062953 52125906