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4442430408 = 2331361233419
BaseRepresentation
bin1000010001100101…
…00001101111001000
3102110121012211212120
410020302201233020
533044230233113
62012452411240
7215042015103
oct41062415710
912417184776
104442430408
11197a6aa799
12a3b916b20
1355a49ab60
1430200173a
151b001aa23
hex108ca1bc8

4442430408 has 64 divisors (see below), whose sum is σ = 12156513600. Its totient is φ = 1344487680.

The previous prime is 4442430389. The next prime is 4442430431. The reversal of 4442430408 is 8040342444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97678 + ... + 135741.

It is an arithmetic number, because the mean of its divisors is an integer number (189945525).

Almost surely, 24442430408 is an apocalyptic number.

It is an amenable number.

4442430408 is an abundant number, since it is smaller than the sum of its proper divisors (7714083192).

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

4442430408 is a wasteful number, since it uses less digits than its factorization.

4442430408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233502 (or 233498 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The square root of 4442430408 is about 66651.5596816759. The cubic root of 4442430408 is about 1643.8929933134.

The spelling of 4442430408 in words is "four billion, four hundred forty-two million, four hundred thirty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 1464 1586 2379 3172 4758 6344 9516 19032 233419 466838 700257 933676 1400514 1867352 2801028 3034447 5602056 6068894 9103341 12137788 14238559 18206682 24275576 28477118 36413364 42715677 56954236 72826728 85431354 113908472 170862708 185101267 341725416 370202534 555303801 740405068 1110607602 1480810136 2221215204 4442430408