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442515968 = 29864289
BaseRepresentation
bin11010011000000…
…100001000000000
31010211200010210022
4122120010020000
51401241002333
6111524353012
713652216006
oct3230041000
91124603708
10442515968
11207874884
12104245768
13708a938b
1442ab0a76
1528cb0c98
hex1a604200

442515968 has 20 divisors (see below), whose sum is σ = 884168670. Its totient is φ = 221257728.

The previous prime is 442515923. The next prime is 442515973. The reversal of 442515968 is 869515244.

It can be written as a sum of positive squares in only one way, i.e., 328624384 + 113891584 = 18128^2 + 10672^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 431633 + ... + 432656.

Almost surely, 2442515968 is an apocalyptic number.

It is an amenable number.

442515968 is a deficient number, since it is larger than the sum of its proper divisors (441652702).

442515968 is an frugal number, since it uses more digits than its factorization.

442515968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864307 (or 864291 counting only the distinct ones).

The product of its digits is 345600, while the sum is 44.

The square root of 442515968 is about 21036.0635100772. The cubic root of 442515968 is about 762.0374508268.

The spelling of 442515968 in words is "four hundred forty-two million, five hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 864289 1728578 3457156 6914312 13828624 27657248 55314496 110628992 221257984 442515968