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420892032 = 2731199643
BaseRepresentation
bin11001000101100…
…100110110000000
31002022222112022210
4121011210312000
51330222021112
6105433102120
713300344321
oct3105446600
91068875283
10420892032
111a6645460
12b8b57940
1369277a52
143dc82448
1526e3db3c
hex19164d80

420892032 has 64 divisors (see below), whose sum is σ = 1219642560. Its totient is φ = 127541760.

The previous prime is 420891953. The next prime is 420892067. The reversal of 420892032 is 230298024.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 45598 + ... + 54045.

It is an arithmetic number, because the mean of its divisors is an integer number (19056915).

Almost surely, 2420892032 is an apocalyptic number.

It is an amenable number.

420892032 is an abundant number, since it is smaller than the sum of its proper divisors (798750528).

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

420892032 is a wasteful number, since it uses less digits than its factorization.

420892032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99671 (or 99659 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 420892032 is about 20515.6533408030. The cubic root of 420892032 is about 749.4170474503.

The spelling of 420892032 in words is "four hundred twenty million, eight hundred ninety-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 99643 199286 298929 398572 597858 797144 1096073 1195716 1594288 2192146 2391432 3188576 3288219 4384292 4782864 6377152 6576438 8768584 9565728 12754304 13152876 17537168 19131456 26305752 35074336 38262912 52611504 70148672 105223008 140297344 210446016 420892032