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52680852 = 22327349599
BaseRepresentation
bin1100100011110…
…1100010010100
310200010110112200
43020331202110
5101441241402
65121044500
71206531330
oct310754224
9120113480
1052680852
11278119a4
1215786730
13abb6703
146dd47c0
15495921c
hex323d894

52680852 has 72 divisors (see below), whose sum is σ = 152880000. Its totient is φ = 14983488.

The previous prime is 52680839. The next prime is 52680853. The reversal of 52680852 is 25808625.

52680852 is a `hidden beast` number, since 526 + 80 + 8 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52680853) 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, 87649 + ... + 88247.

Almost surely, 252680852 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 52680852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440000).

52680852 is an abundant number, since it is smaller than the sum of its proper divisors (100199148).

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

52680852 is a wasteful number, since it uses less digits than its factorization.

52680852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 52680852 is about 7258.1576174674. The cubic root of 52680852 is about 374.8730877202.

The spelling of 52680852 in words is "fifty-two million, six hundred eighty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 349 599 698 1047 1198 1396 1797 2094 2396 2443 3141 3594 4188 4193 4886 5391 6282 7188 7329 8386 9772 10782 12564 12579 14658 16772 21564 21987 25158 29316 37737 43974 50316 75474 87948 150948 209051 418102 627153 836204 1254306 1463357 1881459 2508612 2926714 3762918 4390071 5853428 7525836 8780142 13170213 17560284 26340426 52680852