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66635244 = 223313311531
BaseRepresentation
bin1111111000110…
…0010111101100
311122101102101000
43332030113230
5114024311434
610340120300
71436250564
oct376142754
9148342330
1066635244
1134683055
121a396090
1310a61150
148bc7da4
155cb3b99
hex3f8c5ec

66635244 has 96 divisors (see below), whose sum is σ = 192174080. Its totient is φ = 19828800.

The previous prime is 66635227. The next prime is 66635263. The reversal of 66635244 is 44253666.

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

It is a junction number, because it is equal to n+sod(n) for n = 66635199 and 66635208.

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, 42759 + ... + 44289.

Almost surely, 266635244 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 66635244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96087040).

66635244 is an abundant number, since it is smaller than the sum of its proper divisors (125538836).

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

66635244 is a wasteful number, since it uses less digits than its factorization.

66635244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1580 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 66635244 is about 8163.0413449890. The cubic root of 66635244 is about 405.4164166912.

The spelling of 66635244 in words is "sixty-six million, six hundred thirty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 806 837 1116 1209 1404 1531 1612 1674 2418 3062 3348 3627 4593 4836 6124 7254 9186 10881 13779 14508 18372 19903 21762 27558 39806 41337 43524 47461 55116 59709 79612 82674 94922 119418 142383 165348 179127 189844 238836 284766 358254 427149 537381 569532 616993 716508 854298 1074762 1233986 1281447 1708596 1850979 2149524 2467972 2562894 3701958 5125788 5552937 7403916 11105874 16658811 22211748 33317622 66635244