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33590028 = 22317237159
BaseRepresentation
bin1000000000100…
…0101100001100
32100012112212010
42000020230030
532044340103
63155541220
7555340053
oct200105414
970175763
1033590028
1117a6275a
12b2ba810
136c61074
14466539a
152e37903
hex2008b0c

33590028 has 48 divisors (see below), whose sum is σ = 86607360. Its totient is φ = 10078464.

The previous prime is 33590027. The next prime is 33590047. The reversal of 33590028 is 82009533.

It is a happy number.

It is a super-2 number, since 2×335900282 = 2256579962081568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33589977 and 33590004.

It is not an unprimeable number, because it can be changed into a prime (33590021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1113 + ... + 8271.

It is an arithmetic number, because the mean of its divisors is an integer number (1804320).

Almost surely, 233590028 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 33590028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43303680).

33590028 is an abundant number, since it is smaller than the sum of its proper divisors (53017332).

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

33590028 is a wasteful number, since it uses less digits than its factorization.

33590028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7206 (or 7204 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 33590028 is about 5795.6904679253. The cubic root of 33590028 is about 322.6538032081.

The spelling of 33590028 in words is "thirty-three million, five hundred ninety thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4692 7159 14318 21477 28636 42954 85908 121703 164657 243406 329314 365109 486812 493971 658628 730218 987942 1460436 1975884 2799169 5598338 8397507 11196676 16795014 33590028