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442666004 = 2211231094013
BaseRepresentation
bin11010011000101…
…000110000010100
31010211221202121012
4122120220300110
51401310303004
6111531511352
713653412304
oct3230506024
91124852535
10442666004
11207967580
121042b8558
137092c761
1442b0d604
1528ce046e
hex1a628c14

442666004 has 48 divisors (see below), whose sum is σ = 890144640. Its totient is φ = 190650240.

The previous prime is 442665997. The next prime is 442666057. The reversal of 442666004 is 400666244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108302 + ... + 112314.

It is an arithmetic number, because the mean of its divisors is an integer number (18544680).

Almost surely, 2442666004 is an apocalyptic number.

442666004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442666004 is an abundant number, since it is smaller than the sum of its proper divisors (447478636).

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

442666004 is a wasteful number, since it uses less digits than its factorization.

442666004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4158 counting only the distinct ones).

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

The square root of 442666004 is about 21039.6293693591. The cubic root of 442666004 is about 762.1235645794.

The spelling of 442666004 in words is "four hundred forty-two million, six hundred sixty-six thousand, four".

Divisors: 1 2 4 11 22 23 44 46 92 109 218 253 436 506 1012 1199 2398 2507 4013 4796 5014 8026 10028 16052 27577 44143 55154 88286 92299 110308 176572 184598 369196 437417 874834 1015289 1749668 2030578 4061156 4811587 9623174 10060591 19246348 20121182 40242364 110666501 221333002 442666004