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820002468 = 223643106273
BaseRepresentation
bin110000111000000…
…011111010100100
32010010222102220210
4300320003322210
53134410034333
6213211255420
726214622515
oct6070037244
92103872823
10820002468
11390962a9a
121aa74a570
13100b6747c
147ac94a0c
154bec8a63
hex30e03ea4

820002468 has 24 divisors (see below), whose sum is σ = 1916332768. Its totient is φ = 272906496.

The previous prime is 820002457. The next prime is 820002493. The reversal of 820002468 is 864200028.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45421 + ... + 60852.

Almost surely, 2820002468 is an apocalyptic number.

It is an amenable number.

820002468 is an abundant number, since it is smaller than the sum of its proper divisors (1096330300).

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

820002468 is a wasteful number, since it uses less digits than its factorization.

820002468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106923 (or 106921 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 820002468 is about 28635.6852196695. The cubic root of 820002468 is about 935.9911013472.

The spelling of 820002468 in words is "eight hundred twenty million, two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 643 1286 1929 2572 3858 7716 106273 212546 318819 425092 637638 1275276 68333539 136667078 205000617 273334156 410001234 820002468