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52152606 = 23311194621
BaseRepresentation
bin1100011011110…
…0100100011110
310122010121221000
43012330210132
5101322340411
65101451130
71202201262
oct306744436
9118117830
1052152606
1127491030
1215570aa6
13aa6013c
146cd80a2
1548a2956
hex31bc91e

52152606 has 64 divisors (see below), whose sum is σ = 133113600. Its totient is φ = 14968800.

The previous prime is 52152589. The next prime is 52152613. The reversal of 52152606 is 60625125.

52152606 is a `hidden beast` number, since 5 + 2 + 1 + 52 + 606 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 52152606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8976 + ... + 13596.

It is an arithmetic number, because the mean of its divisors is an integer number (2079900).

Almost surely, 252152606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52152606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66556800).

52152606 is an abundant number, since it is smaller than the sum of its proper divisors (80960994).

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

52152606 is a wasteful number, since it uses less digits than its factorization.

52152606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4662 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 52152606 is about 7221.6761212339. The cubic root of 52152606 is about 373.6158895876.

The spelling of 52152606 in words is "fifty-two million, one hundred fifty-two thousand, six hundred six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 4621 5643 9242 11286 13863 27726 41589 50831 83178 87799 101662 124767 152493 175598 249534 263397 304986 457479 526794 790191 914958 965789 1372437 1580382 1931578 2370573 2744874 2897367 4741146 5794734 8692101 17384202 26076303 52152606