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820604466 = 233111381489
BaseRepresentation
bin110000111010010…
…110111000110010
32010012010000201000
4300322112320302
53140033320331
6213232222430
726223010563
oct6072267062
92105100630
10820604466
11391234310
121aa99aa16
13101018496
147adb016a
154c0970e6
hex30e96e32

820604466 has 32 divisors (see below), whose sum is σ = 1989345600. Its totient is φ = 248667840.

The previous prime is 820604437. The next prime is 820604479. The reversal of 820604466 is 664406028.

It is a happy number.

820604466 is a `hidden beast` number, since 8 + 2 + 0 + 604 + 46 + 6 = 666.

820604466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 820604466.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690151 + ... + 691338.

It is an arithmetic number, because the mean of its divisors is an integer number (62167050).

Almost surely, 2820604466 is an apocalyptic number.

820604466 is an abundant number, since it is smaller than the sum of its proper divisors (1168741134).

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

820604466 is a wasteful number, since it uses less digits than its factorization.

820604466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381511 (or 1381505 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 820604466 is about 28646.1946163884. The cubic root of 820604466 is about 936.2200953489.

The spelling of 820604466 in words is "eight hundred twenty million, six hundred four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1381489 2762978 4144467 8288934 12433401 15196379 24866802 30392758 37300203 45589137 74600406 91178274 136767411 273534822 410302233 820604466