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442430164 = 221137359757
BaseRepresentation
bin11010010111101…
…111001011010100
31010211111210002101
4122113233023110
51401230231124
6111522451444
713651410601
oct3227571324
91124453071
10442430164
11207816370
12104203b84
13708792c7
1442a8b6a8
1528c95644
hex1a5ef2d4

442430164 has 48 divisors (see below), whose sum is σ = 871032960. Its totient is φ = 194866560.

The previous prime is 442430161. The next prime is 442430173. The reversal of 442430164 is 461034244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442430161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584074 + ... + 584830.

It is an arithmetic number, because the mean of its divisors is an integer number (18146520).

Almost surely, 2442430164 is an apocalyptic number.

442430164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442430164 is a deficient number, since it is larger than the sum of its proper divisors (428602796).

442430164 is a wasteful number, since it uses less digits than its factorization.

442430164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 442430164 is about 21034.0239611920. The cubic root of 442430164 is about 761.9881945342.

The spelling of 442430164 in words is "four hundred forty-two million, four hundred thirty thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 37 44 74 148 359 407 718 757 814 1436 1514 1628 3028 3949 7898 8327 13283 15796 16654 26566 28009 33308 53132 56018 112036 146113 271763 292226 308099 543526 584452 616198 1087052 1232396 2989393 5978786 10055231 11957572 20110462 40220924 110607541 221215082 442430164