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420606592 = 277267061
BaseRepresentation
bin11001000100011…
…111001010000000
31002022110000202221
4121010133022000
51330133402332
6105423020424
713265045200
oct3104371200
91068400687
10420606592
111a646aa5a
12b8a3a714
13691a7b53
143dc0a400
1526dd4297
hex1911f280

420606592 has 48 divisors (see below), whose sum is σ = 974746170. Its totient is φ = 180257280.

The previous prime is 420606581. The next prime is 420606617. The reversal of 420606592 is 295606024.

It can be written as a sum of positive squares in only one way, i.e., 381967936 + 38638656 = 19544^2 + 6216^2 .

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, 27259 + ... + 39802.

Almost surely, 2420606592 is an apocalyptic number.

It is an amenable number.

420606592 is an abundant number, since it is smaller than the sum of its proper divisors (554139578).

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

420606592 is an equidigital number, since it uses as much as digits as its factorization.

420606592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67089 (or 67070 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 420606592 is about 20508.6955216562. The cubic root of 420606592 is about 749.2475962520.

The spelling of 420606592 in words is "four hundred twenty million, six hundred six thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 67061 134122 268244 469427 536488 938854 1072976 1877708 2145952 3285989 3755416 4291904 6571978 7510832 8583808 13143956 15021664 26287912 30043328 52575824 60086656 105151648 210303296 420606592