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442790964 = 2232711159737
BaseRepresentation
bin11010011001000…
…111010000110100
31010212012010000100
4122121013100310
51401323302324
6111534314100
713654442520
oct3231072064
91125163010
10442790964
11207a42450
12104358930
13709745b5
1442b42d80
1528d174c9
hex1a647434

442790964 has 72 divisors (see below), whose sum is σ = 1395471168. Its totient is φ = 115009920.

The previous prime is 442790941. The next prime is 442790977. The reversal of 442790964 is 469097244.

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 23 ways as a sum of consecutive naturals, for example, 77097 + ... + 82640.

It is an arithmetic number, because the mean of its divisors is an integer number (19381544).

Almost surely, 2442790964 is an apocalyptic number.

442790964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442790964 is an abundant number, since it is smaller than the sum of its proper divisors (952680204).

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

442790964 is a wasteful number, since it uses less digits than its factorization.

442790964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159765 (or 159760 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 442790964 is about 21042.5987938752. The cubic root of 442790964 is about 762.1952710127.

The spelling of 442790964 in words is "four hundred forty-two million, seven hundred ninety thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 159737 319474 479211 638948 958422 1118159 1437633 1757107 1916844 2236318 2875266 3354477 3514214 4472636 5271321 5750532 6708954 7028428 10063431 10542642 12299749 13417908 15813963 20126862 21085284 24599498 31627926 36899247 40253724 49198996 63255852 73798494 110697741 147596988 221395482 442790964