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442240464 = 24322514093
BaseRepresentation
bin11010010111000…
…000110111010000
31010211011010212110
4122113000313100
51401203143324
6111514425320
713646660541
oct3227006720
91124133773
10442240464
112076a6896
12104132240
1370810b63
1442a3c4c8
1528c59329
hex1a5c0dd0

442240464 has 40 divisors (see below), whose sum is σ = 1143241312. Its totient is φ = 147312000.

The previous prime is 442240457. The next prime is 442240507. The reversal of 442240464 is 464042244.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 106002 + ... + 110094.

Almost surely, 2442240464 is an apocalyptic number.

It is an amenable number.

442240464 is an abundant number, since it is smaller than the sum of its proper divisors (701000848).

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

442240464 is a wasteful number, since it uses less digits than its factorization.

442240464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 442240464 is about 21029.5141170689. The cubic root of 442240464 is about 761.8792735213.

The spelling of 442240464 in words is "four hundred forty-two million, two hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 2251 4093 4502 6753 8186 9004 12279 13506 16372 18008 24558 27012 32744 36016 49116 54024 65488 98232 108048 196464 9213343 18426686 27640029 36853372 55280058 73706744 110560116 147413488 221120232 442240464