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33260868 = 2235191801
BaseRepresentation
bin111111011100…
…0010101000100
32022120211100000
41332320111010
532003321433
63144521300
7552466314
oct176702504
968524300
1033260868
1117858423
12b180230
136b772b4
1445bb444
152dc0113
hex1fb8544

33260868 has 72 divisors (see below), whose sum is σ = 91829920. Its totient is φ = 10497600.

The previous prime is 33260867. The next prime is 33260879. The reversal of 33260868 is 86806233.

It is a super-2 number, since 2×332608682 = 2212570680226848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33260867) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17568 + ... + 19368.

Almost surely, 233260868 is an apocalyptic number.

33260868 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33260868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45914960).

33260868 is an abundant number, since it is smaller than the sum of its proper divisors (58569052).

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

33260868 is a wasteful number, since it uses less digits than its factorization.

33260868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 33260868 is about 5767.2235954573. The cubic root of 33260868 is about 321.5964106305.

The spelling of 33260868 in words is "thirty-three million, two hundred sixty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 1801 2052 3078 3602 4617 5403 6156 7204 9234 10806 16209 18468 21612 32418 34219 48627 64836 68438 97254 102657 136876 145881 194508 205314 291762 307971 410628 437643 583524 615942 875286 923913 1231884 1750572 1847826 2771739 3695652 5543478 8315217 11086956 16630434 33260868