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33930828 = 22321098647
BaseRepresentation
bin1000000101101…
…1111001001100
32100211212100100
42001123321030
532141241303
63211131100
7561256461
oct201337114
970755310
1033930828
1118175808
12b443a90
137050219
144713668
152ea38a3
hex205be4c

33930828 has 36 divisors (see below), whose sum is σ = 86566480. Its totient is φ = 11205216.

The previous prime is 33930811. The next prime is 33930847. The reversal of 33930828 is 82803933.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 33930792 and 33930801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400 + ... + 8247.

Almost surely, 233930828 is an apocalyptic number.

It is an amenable number.

33930828 is an abundant number, since it is smaller than the sum of its proper divisors (52635652).

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

33930828 is a wasteful number, since it uses less digits than its factorization.

33930828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766 (or 8761 counting only the distinct ones).

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

The square root of 33930828 is about 5825.0174248666. The cubic root of 33930828 is about 323.7413344729.

The spelling of 33930828 in words is "thirty-three million, nine hundred thirty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 8647 17294 25941 34588 51882 77823 103764 155646 311292 942523 1885046 2827569 3770092 5655138 8482707 11310276 16965414 33930828