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820466364 = 223144747251
BaseRepresentation
bin110000111001110…
…101001010111100
32010011212000021010
4300321311022330
53140014410424
6213225235220
726221564134
oct6071651274
92104760233
10820466364
1139114a583
121aa932b10
13100c9a673
147ad75ac4
154c06b229
hex30e752bc

820466364 has 24 divisors (see below), whose sum is σ = 1915785088. Its totient is φ = 273294000.

The previous prime is 820466363. The next prime is 820466377. The reversal of 820466364 is 463664028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820466363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6262 + ... + 40989.

Almost surely, 2820466364 is an apocalyptic number.

It is an amenable number.

820466364 is an abundant number, since it is smaller than the sum of its proper divisors (1095318724).

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

820466364 is a wasteful number, since it uses less digits than its factorization.

820466364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48705 (or 48703 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 820466364 is about 28643.7840377280. The cubic root of 820466364 is about 936.1675726347.

It can be divided in two parts, 82046 and 6364, that added together give a triangular number (88410 = T420).

The spelling of 820466364 in words is "eight hundred twenty million, four hundred sixty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 1447 2894 4341 5788 8682 17364 47251 94502 141753 189004 283506 567012 68372197 136744394 205116591 273488788 410233182 820466364