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33930625 = 542332
BaseRepresentation
bin1000000101101…
…1110110000001
32100211212001211
42001123312001
532141240000
63211130121
7561256051
oct201336601
970755054
1033930625
1118175643
12b443941
1370500c1
144713561
152ea37ba
hex205bd81

33930625 has 15 divisors (see below), whose sum is σ = 42582463. Its totient is φ = 27028000.

The previous prime is 33930607. The next prime is 33930629. The reversal of 33930625 is 52603933.

The square root of 33930625 is 5825.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 32798529 + 1132096 = 5727^2 + 1064^2 .

It is not a de Polignac number, because 33930625 - 25 = 33930593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33930629) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 145509 + ... + 145741.

Almost surely, 233930625 is an apocalyptic number.

33930625 is the 5825-th square number.

33930625 is the 2913-rd centered octagonal number.

It is an amenable number.

33930625 is a deficient number, since it is larger than the sum of its proper divisors (8651838).

33930625 is an frugal number, since it uses more digits than its factorization.

33930625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 31.

The cubic root of 33930625 is about 323.7406888493.

The spelling of 33930625 in words is "thirty-three million, nine hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 233 625 1165 5825 29125 54289 145625 271445 1357225 6786125 33930625