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420984432 = 24331188591
BaseRepresentation
bin11001000101111…
…011011001110000
31002100011020002000
4121011323121300
51330233000212
6105435054000
713301210601
oct3105733160
91070136060
10420984432
111a66a8920
12b8ba1300
13692aab1b
143dca7da8
1526e5b1dc
hex1917b670

420984432 has 80 divisors (see below), whose sum is σ = 1318248960. Its totient is φ = 127569600.

The previous prime is 420984427. The next prime is 420984449. The reversal of 420984432 is 234489024.

420984432 is a `hidden beast` number, since 4 + 209 + 8 + 443 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39544 + ... + 49047.

It is an arithmetic number, because the mean of its divisors is an integer number (16478112).

Almost surely, 2420984432 is an apocalyptic number.

It is an amenable number.

420984432 is an abundant number, since it is smaller than the sum of its proper divisors (897264528).

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

420984432 is a wasteful number, since it uses less digits than its factorization.

420984432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88619 (or 88607 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 420984432 is about 20517.9051562288. The cubic root of 420984432 is about 749.4718842122.

The spelling of 420984432 in words is "four hundred twenty million, nine hundred eighty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 88591 177182 265773 354364 531546 708728 797319 974501 1063092 1417456 1594638 1949002 2126184 2391957 2923503 3189276 3898004 4252368 4783914 5847006 6378552 7796008 8770509 9567828 11694012 12757104 15592016 17541018 19135656 23388024 26311527 35082036 38271312 46776048 52623054 70164072 105246108 140328144 210492216 420984432