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820426704 = 24329589387
BaseRepresentation
bin110000111001101…
…011011111010000
32010011202222212020
4300321223133100
53140012123304
6213224331440
726221340406
oct6071533720
92104688766
10820426704
113911227a9
121aa913b80
13100c855b6
147ad65476
154c05e5d9
hex30e6b7d0

820426704 has 40 divisors (see below), whose sum is σ = 2192523360. Its totient is φ = 264044928.

The previous prime is 820426703. The next prime is 820426709. The reversal of 820426704 is 407624028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820426703) 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, 293302 + ... + 296085.

It is an arithmetic number, because the mean of its divisors is an integer number (54813084).

Almost surely, 2820426704 is an apocalyptic number.

It is an amenable number.

820426704 is an abundant number, since it is smaller than the sum of its proper divisors (1372096656).

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

820426704 is a wasteful number, since it uses less digits than its factorization.

820426704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589427 (or 589421 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 820426704 is about 28643.0917325627. The cubic root of 820426704 is about 936.1524881227.

The spelling of 820426704 in words is "eight hundred twenty million, four hundred twenty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 589387 1178774 1768161 2357548 3536322 4715096 7072644 9430192 14145288 17092223 28290576 34184446 51276669 68368892 102553338 136737784 205106676 273475568 410213352 820426704