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42442656 = 2531923269
BaseRepresentation
bin1010000111100…
…1111110100000
32221212022101020
42201321332200
541331131111
64113405440
71023520344
oct241717640
987768336
1042442656
1121a59883
1212269880
138a405c9
1458cb624
153ad5906
hex2879fa0

42442656 has 48 divisors (see below), whose sum is σ = 117280800. Its totient is φ = 13402368.

The previous prime is 42442651. The next prime is 42442657. The reversal of 42442656 is 65624424.

42442656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (42442651) by changing a digit.

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, 9811 + ... + 13458.

It is an arithmetic number, because the mean of its divisors is an integer number (2443350).

Almost surely, 242442656 is an apocalyptic number.

It is an amenable number.

42442656 is an abundant number, since it is smaller than the sum of its proper divisors (74838144).

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

42442656 is a wasteful number, since it uses less digits than its factorization.

42442656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23301 (or 23293 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 42442656 is about 6514.8028366175. The cubic root of 42442656 is about 348.8195770792.

The spelling of 42442656 in words is "forty-two million, four hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 23269 46538 69807 93076 139614 186152 279228 372304 442111 558456 744608 884222 1116912 1326333 1768444 2233824 2652666 3536888 5305332 7073776 10610664 14147552 21221328 42442656