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52136880 = 24351091993
BaseRepresentation
bin1100011011100…
…0101110110000
310122002211100120
43012320232300
5101321340010
65101250240
71202104365
oct306705660
9118084316
1052136880
1127480234
1215563980
13aa55c33
146cd246c
15489ce70
hex31b8bb0

52136880 has 80 divisors (see below), whose sum is σ = 163188960. Its totient is φ = 13768704.

The previous prime is 52136873. The next prime is 52136891. The reversal of 52136880 is 8863125.

It is a happy number.

52136880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×521368802 = 5436508512268800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25164 + ... + 27156.

It is an arithmetic number, because the mean of its divisors is an integer number (2039862).

Almost surely, 252136880 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 52136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81594480).

52136880 is an abundant number, since it is smaller than the sum of its proper divisors (111052080).

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

52136880 is a wasteful number, since it uses less digits than its factorization.

52136880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 52136880 is about 7220.5872337366. The cubic root of 52136880 is about 373.5783326652.

It can be divided in two parts, 521 and 36880, that added together give a triangular number (37401 = T273).

The spelling of 52136880 in words is "fifty-two million, one hundred thirty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 545 654 872 1090 1308 1635 1744 1993 2180 2616 3270 3986 4360 5232 5979 6540 7972 8720 9965 11958 13080 15944 19930 23916 26160 29895 31888 39860 47832 59790 79720 95664 119580 159440 217237 239160 434474 478320 651711 868948 1086185 1303422 1737896 2172370 2606844 3258555 3475792 4344740 5213688 6517110 8689480 10427376 13034220 17378960 26068440 52136880