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420404656 = 24737101449
BaseRepresentation
bin11001000011101…
…101110110110000
31002022001202202211
4121003231312300
51330110422111
6105414421504
713263244360
oct3103556660
91068052684
10420404656
111a6342271
12b8961894
1369136c69
143db969a0
1526d94521
hex190eddb0

420404656 has 40 divisors (see below), whose sum is σ = 956064800. Its totient is φ = 175302144.

The previous prime is 420404653. The next prime is 420404689. The reversal of 420404656 is 656404024.

It is not an unprimeable number, because it can be changed into a prime (420404653) 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, 46581 + ... + 54868.

It is an arithmetic number, because the mean of its divisors is an integer number (23901620).

Almost surely, 2420404656 is an apocalyptic number.

It is an amenable number.

420404656 is an abundant number, since it is smaller than the sum of its proper divisors (535660144).

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

420404656 is a wasteful number, since it uses less digits than its factorization.

420404656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101501 (or 101495 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 420404656 is about 20503.7717505829. The cubic root of 420404656 is about 749.1276708195.

The spelling of 420404656 in words is "four hundred twenty million, four hundred four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 4144 101449 202898 405796 710143 811592 1420286 1623184 2840572 3753613 5681144 7507226 11362288 15014452 26275291 30028904 52550582 60057808 105101164 210202328 420404656