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420750456 = 23372357781
BaseRepresentation
bin11001000101000…
…010010001111000
31002022201100010020
4121011002101320
51330203003311
6105430050440
713266214500
oct3105022170
91068640106
10420750456
111a6559055
12b8aa9a20
1369228489
143dc46a00
1526e11c06
hex19142478

420750456 has 48 divisors (see below), whose sum is σ = 1223614440. Its totient is φ = 120214080.

The previous prime is 420750413. The next prime is 420750457. The reversal of 420750456 is 654057024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420750457) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 177715 + ... + 180066.

Almost surely, 2420750456 is an apocalyptic number.

It is an amenable number.

420750456 is an abundant number, since it is smaller than the sum of its proper divisors (802863984).

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

420750456 is a wasteful number, since it uses less digits than its factorization.

420750456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357804 (or 357793 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 420750456 is about 20512.2026121038. The cubic root of 420750456 is about 749.3330105649. Note that the first 3 decimals are identical.

The spelling of 420750456 in words is "four hundred twenty million, seven hundred fifty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 357781 715562 1073343 1431124 2146686 2504467 2862248 4293372 5008934 7513401 8586744 10017868 15026802 17531269 20035736 30053604 35062538 52593807 60107208 70125076 105187614 140250152 210375228 420750456