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426991464 = 23325930437
BaseRepresentation
bin11001011100110…
…101111101101000
31002202110102011200
4121130311331220
51333302211324
6110211524200
713403240034
oct3134657550
91082412150
10426991464
111aa031009
12babb9660
136a602093
14409cd1c4
1527745ec9
hex19735f68

426991464 has 24 divisors (see below), whose sum is σ = 1156435410. Its totient is φ = 142330464.

The previous prime is 426991457. The next prime is 426991471. The reversal of 426991464 is 464199624.

426991464 is a `hidden beast` number, since 42 + 69 + 91 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (426991457) and next prime (426991471).

It can be written as a sum of positive squares in only one way, i.e., 269288100 + 157703364 = 16410^2 + 12558^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2965147 + ... + 2965290.

Almost surely, 2426991464 is an apocalyptic number.

It is an amenable number.

426991464 is an abundant number, since it is smaller than the sum of its proper divisors (729443946).

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

426991464 is a wasteful number, since it uses less digits than its factorization.

426991464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930449 (or 5930442 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 426991464 is about 20663.7717757432. The cubic root of 426991464 is about 753.0198033976.

The spelling of 426991464 in words is "four hundred twenty-six million, nine hundred ninety-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5930437 11860874 17791311 23721748 35582622 47443496 53373933 71165244 106747866 142330488 213495732 426991464