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442631464 = 231116932971
BaseRepresentation
bin11010011000100…
…000010100101000
31010211220000012221
4122120200110220
51401303201324
6111531043424
713653206512
oct3230402450
91124800187
10442631464
11207943630
121042a0574
1370919b12
1442b00bb2
1528cd50e4
hex1a620528

442631464 has 32 divisors (see below), whose sum is σ = 906222240. Its totient is φ = 201009600.

The previous prime is 442631381. The next prime is 442631471. The reversal of 442631464 is 464136244.

It is a super-2 number, since 2×4426314642 = 391845225845566592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147499 + ... + 150469.

It is an arithmetic number, because the mean of its divisors is an integer number (28319445).

Almost surely, 2442631464 is an apocalyptic number.

442631464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442631464 is an abundant number, since it is smaller than the sum of its proper divisors (463590776).

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

442631464 is a wasteful number, since it uses less digits than its factorization.

442631464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4681 (or 4677 counting only the distinct ones).

The product of its digits is 55296, while the sum is 34.

The square root of 442631464 is about 21038.8085213968. The cubic root of 442631464 is about 762.1037419349.

The spelling of 442631464 in words is "four hundred forty-two million, six hundred thirty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 1693 2971 3386 5942 6772 11884 13544 18623 23768 32681 37246 65362 74492 130724 148984 261448 5029903 10059806 20119612 40239224 55328933 110657866 221315732 442631464