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442006664 = 231117295459
BaseRepresentation
bin11010010110000…
…111110010001000
31010210201021011012
4122112013302020
51401123203124
6111505423052
713644665111
oct3226076210
91123637135
10442006664
11207557170
1210403aa88
137075b608
14429bb208
1528c0ee0e
hex1a587c88

442006664 has 32 divisors (see below), whose sum is σ = 957290400. Its totient is φ = 189093120.

The previous prime is 442006657. The next prime is 442006693. The reversal of 442006664 is 466600244.

It is a self number, because there is not a number n which added to its sum of digits gives 442006664.

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, 146234 + ... + 149225.

It is an arithmetic number, because the mean of its divisors is an integer number (29915325).

Almost surely, 2442006664 is an apocalyptic number.

442006664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442006664 is an abundant number, since it is smaller than the sum of its proper divisors (515283736).

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

442006664 is a wasteful number, since it uses less digits than its factorization.

442006664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295493 (or 295489 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 442006664 is about 21023.9545281091. The cubic root of 442006664 is about 761.7449885277.

The spelling of 442006664 in words is "four hundred forty-two million, six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1496 295459 590918 1181836 2363672 3250049 5022803 6500098 10045606 13000196 20091212 26000392 40182424 55250833 110501666 221003332 442006664