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52082646 = 23711791427
BaseRepresentation
bin1100011010101…
…1011111010110
310122000001221220
43012223133112
5101313121041
65100151210
71201460310
oct306533726
9118001856
1052082646
1127443510
1215538506
13aa37345
146cba7b0
15488bd66
hex31ab7d6

52082646 has 64 divisors (see below), whose sum is σ = 131604480. Its totient is φ = 13347360.

The previous prime is 52082633. The next prime is 52082647. The reversal of 52082646 is 64628025.

It is a super-2 number, since 2×520826462 = 5425204028722632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52082647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35785 + ... + 37211.

It is an arithmetic number, because the mean of its divisors is an integer number (2056320).

Almost surely, 252082646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52082646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802240).

52082646 is an abundant number, since it is smaller than the sum of its proper divisors (79521834).

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

52082646 is a wasteful number, since it uses less digits than its factorization.

52082646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 52082646 is about 7216.8307448630. The cubic root of 52082646 is about 373.4487527558.

The spelling of 52082646 in words is "fifty-two million, eighty-two thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 79 154 158 231 237 462 474 553 869 1106 1427 1659 1738 2607 2854 3318 4281 5214 6083 8562 9989 12166 15697 18249 19978 29967 31394 36498 47091 59934 94182 109879 112733 219758 225466 329637 338199 659274 676398 789131 1240063 1578262 2367393 2480126 3720189 4734786 7440378 8680441 17360882 26041323 52082646