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420009792 = 2633759123
BaseRepresentation
bin11001000010001…
…101011101000000
31002021022201010020
4121002031131000
51330010303132
6105402133440
713260011226
oct3102153500
91067281106
10420009792
111a60a2634
12b87b1280
1369029307
143dad2b16
1526d1752c
hex1908d740

420009792 has 56 divisors (see below), whose sum is σ = 1141329696. Its totient is φ = 136217088.

The previous prime is 420009679. The next prime is 420009817. The reversal of 420009792 is 297900024.

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, 22458 + ... + 36665.

Almost surely, 2420009792 is an apocalyptic number.

It is an amenable number.

420009792 is an abundant number, since it is smaller than the sum of its proper divisors (721319904).

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

420009792 is a wasteful number, since it uses less digits than its factorization.

420009792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59175 (or 59165 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 420009792 is about 20494.1404308646. The cubic root of 420009792 is about 748.8930586003.

The spelling of 420009792 in words is "four hundred twenty million, nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 59123 118246 177369 236492 354738 472984 709476 945968 1418952 1891936 2187551 2837904 3783872 4375102 5675808 6562653 8750204 11351616 13125306 17500408 26250612 35000816 52501224 70001632 105002448 140003264 210004896 420009792