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420800256 = 2832182639
BaseRepresentation
bin11001000101001…
…110011100000000
31002022210212102200
4121011032130000
51330211102011
6105431113200
713266512622
oct3105163400
91068725380
10420800256
111a6592508
12b8b12800
1369245046
143dc5ac12
1526e21856
hex1914e700

420800256 has 54 divisors (see below), whose sum is σ = 1213277520. Its totient is φ = 140265984.

The previous prime is 420800227. The next prime is 420800273. The reversal of 420800256 is 652008024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89016 + ... + 93623.

Almost surely, 2420800256 is an apocalyptic number.

It is an amenable number.

420800256 is an abundant number, since it is smaller than the sum of its proper divisors (792477264).

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

420800256 is a wasteful number, since it uses less digits than its factorization.

420800256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182661 (or 182644 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 420800256 is about 20513.4164877526. The cubic root of 420800256 is about 749.3625730694.

The spelling of 420800256 in words is "four hundred twenty million, eight hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 182639 365278 547917 730556 1095834 1461112 1643751 2191668 2922224 3287502 4383336 5844448 6575004 8766672 11688896 13150008 17533344 23377792 26300016 35066688 46755584 52600032 70133376 105200064 140266752 210400128 420800256