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33689124 = 22327433109
BaseRepresentation
bin1000000010000…
…0111000100100
32100101120210100
42000200320210
532111022444
63202024100
7556232010
oct200407044
970346710
1033689124
1118020157
12b348030
136c971c1
14468d540
152e56e69
hex2020e24

33689124 has 72 divisors (see below), whose sum is σ = 99619520. Its totient is φ = 9398592.

The previous prime is 33689111. The next prime is 33689143. The reversal of 33689124 is 42198633.

It is a super-2 number, since 2×336891242 = 2269914151774752, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9282 + ... + 12390.

Almost surely, 233689124 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 33689124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49809760).

33689124 is an abundant number, since it is smaller than the sum of its proper divisors (65930396).

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

33689124 is a wasteful number, since it uses less digits than its factorization.

33689124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3164 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 33689124 is about 5804.2332826998. The cubic root of 33689124 is about 322.9707852818.

The spelling of 33689124 in words is "thirty-three million, six hundred eighty-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3109 3612 5418 6218 9327 10836 12436 18654 21763 27981 37308 43526 55962 65289 87052 111924 130578 133687 195867 261156 267374 391734 401061 534748 783468 802122 935809 1203183 1604244 1871618 2406366 2807427 3743236 4812732 5614854 8422281 11229708 16844562 33689124