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33683090 = 2572531297
BaseRepresentation
bin1000000001111…
…1011010010010
32100101021111212
42000133122102
532110324330
63201540122
7556205300
oct200373222
970337455
1033683090
1118016671
12b344642
136c9452c
14468b270
152e55295
hex201f692

33683090 has 48 divisors (see below), whose sum is σ = 71914392. Its totient is φ = 11321856.

The previous prime is 33683087. The next prime is 33683107. The reversal of 33683090 is 9038633.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33674809 + 8281 = 5803^2 + 91^2 .

It is a super-2 number, since 2×336830902 = 2269101103896200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25322 + ... + 26618.

Almost surely, 233683090 is an apocalyptic number.

33683090 is an abundant number, since it is smaller than the sum of its proper divisors (38231302).

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

33683090 is a wasteful number, since it uses less digits than its factorization.

33683090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 33683090 is about 5803.7134663937. The cubic root of 33683090 is about 322.9515018865.

The spelling of 33683090 in words is "thirty-three million, six hundred eighty-three thousand, ninety".

Divisors: 1 2 5 7 10 14 35 49 53 70 98 106 245 265 371 490 530 742 1297 1855 2594 2597 3710 5194 6485 9079 12970 12985 18158 25970 45395 63553 68741 90790 127106 137482 317765 343705 481187 635530 687410 962374 2405935 3368309 4811870 6736618 16841545 33683090