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420798464 = 213311657
BaseRepresentation
bin11001000101001…
…110000000000000
31002022210202222022
4121011032000000
51330211022324
6105431101012
713266504452
oct3105160000
91068722868
10420798464
111a6591129
12b8b11768
1369244298
143dc5a2d2
1526e2105e
hex1914e000

420798464 has 56 divisors (see below), whose sum is σ = 869216448. Its totient is φ = 203489280.

The previous prime is 420798451. The next prime is 420798481. The reversal of 420798464 is 464897024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253124 + ... + 254780.

Almost surely, 2420798464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420798464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434608224).

420798464 is an abundant number, since it is smaller than the sum of its proper divisors (448417984).

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

420798464 is an equidigital number, since it uses as much as digits as its factorization.

420798464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 420798464 is about 20513.3728089751. The cubic root of 420798464 is about 749.3615093345.

The spelling of 420798464 in words is "four hundred twenty million, seven hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1657 1984 2048 3314 3968 4096 6628 7936 8192 13256 15872 26512 31744 51367 53024 63488 102734 106048 126976 205468 212096 253952 410936 424192 821872 848384 1643744 1696768 3287488 3393536 6574976 6787072 13149952 13574144 26299904 52599808 105199616 210399232 420798464