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442646644 = 221131437547
BaseRepresentation
bin11010011000100…
…100000001110100
31010211220210001011
4122120210001310
51401304143034
6111531242004
713653301666
oct3230440164
91124823034
10442646644
11207953a80
121042a9304
13709239bb
1442b06536
1528cd9864
hex1a624074

442646644 has 48 divisors (see below), whose sum is σ = 892717056. Its totient is φ = 190159200.

The previous prime is 442646609. The next prime is 442646647. The reversal of 442646644 is 446646244.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 442646597 and 442646606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442646647) by changing a digit.

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, 54879 + ... + 62425.

It is an arithmetic number, because the mean of its divisors is an integer number (18598272).

Almost surely, 2442646644 is an apocalyptic number.

442646644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442646644 is an abundant number, since it is smaller than the sum of its proper divisors (450070412).

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

442646644 is a wasteful number, since it uses less digits than its factorization.

442646644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7636 (or 7634 counting only the distinct ones).

The product of its digits is 442368, while the sum is 40.

The square root of 442646644 is about 21039.1692801783. The cubic root of 442646644 is about 762.1124539248.

The spelling of 442646644 in words is "four hundred forty-two million, six hundred forty-six thousand, six hundred forty-four".

Divisors: 1 2 4 11 22 31 43 44 62 86 124 172 341 473 682 946 1333 1364 1892 2666 5332 7547 14663 15094 29326 30188 58652 83017 166034 233957 324521 332068 467914 649042 935828 1298084 2573527 3569731 5147054 7139462 10060151 10294108 14278924 20120302 40240604 110661661 221323322 442646644