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52611006 = 23721491201
BaseRepresentation
bin1100100010110…
…0011110111110
310122222220201210
43020230132332
5101432023011
65115345250
71206120600
oct310543676
9118886653
1052611006
1127774478
1215752226
13ab90996
146db7170
1549436a6
hex322c7be

52611006 has 48 divisors (see below), whose sum is σ = 123325200. Its totient is φ = 14918400.

The previous prime is 52610993. The next prime is 52611011. The reversal of 52611006 is 60011625.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43206 + ... + 44406.

It is an arithmetic number, because the mean of its divisors is an integer number (2569275).

Almost surely, 252611006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52611006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61662600).

52611006 is an abundant number, since it is smaller than the sum of its proper divisors (70714194).

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

52611006 is a wasteful number, since it uses less digits than its factorization.

52611006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 52611006 is about 7253.3444699669. The cubic root of 52611006 is about 374.7073414398.

The spelling of 52611006 in words is "fifty-two million, six hundred eleven thousand, six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 149 294 298 447 894 1043 1201 2086 2402 3129 3603 6258 7206 7301 8407 14602 16814 21903 25221 43806 50442 58849 117698 176547 178949 353094 357898 536847 1073694 1252643 2505286 3757929 7515858 8768501 17537002 26305503 52611006