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825411328 = 287460609
BaseRepresentation
bin110001001100101…
…100011100000000
32010112011020110221
4301030230130000
53142301130303
6213523232424
726311611010
oct6114543400
92115136427
10825411328
11393a17825
121b0518714
1310200c391
147b8a1c40
154c6e64bd
hex3132c700

825411328 has 36 divisors (see below), whose sum is σ = 1882973680. Its totient is φ = 353746944.

The previous prime is 825411317. The next prime is 825411341. The reversal of 825411328 is 823114528.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 825411293 and 825411302.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 228513 + ... + 232096.

Almost surely, 2825411328 is an apocalyptic number.

It is an amenable number.

825411328 is an abundant number, since it is smaller than the sum of its proper divisors (1057562352).

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

825411328 is an equidigital number, since it uses as much as digits as its factorization.

825411328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460632 (or 460618 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 825411328 is about 28729.9726418248. The cubic root of 825411328 is about 938.0445724505.

The spelling of 825411328 in words is "eight hundred twenty-five million, four hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 460609 921218 1842436 3224263 3684872 6448526 7369744 12897052 14739488 25794104 29478976 51588208 58957952 103176416 117915904 206352832 412705664 825411328