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828633796 = 223723892
BaseRepresentation
bin110001011000111…
…111001011000100
32010202012221212121
4301120333023010
53144112240141
6214120255324
726351161654
oct6130771304
92122187777
10828633796
11395818921
121b1611544
1310289a073
147c0a0364
154cb311d1
hex3163f2c4

828633796 has 27 divisors (see below), whose sum is σ = 1494201639. Its totient is φ = 402082848.

The previous prime is 828633761. The next prime is 828633803. The reversal of 828633796 is 697336828.

The square root of 828633796 is 28786.

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

828633796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25704900 + 802928896 = 5070^2 + 28336^2 .

It is a super-3 number, since 3×8286337963 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2129970 + ... + 2130358.

Almost surely, 2828633796 is an apocalyptic number.

828633796 is the 28786-th square number.

It is an amenable number.

828633796 is a deficient number, since it is larger than the sum of its proper divisors (665567843).

828633796 is an equidigital number, since it uses as much as digits as its factorization.

828633796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 428 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The cubic root of 828633796 is about 939.2637195005.

The spelling of 828633796 in words is "eight hundred twenty-eight million, six hundred thirty-three thousand, seven hundred ninety-six".

Divisors: 1 2 4 37 74 148 389 778 1369 1556 2738 5476 14393 28786 57572 151321 302642 532541 605284 1065082 2130164 5598877 11197754 22395508 207158449 414316898 828633796