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42864648 = 2333748271
BaseRepresentation
bin1010001110000…
…1000000001000
32222122202020120
42203201000020
541433132043
64130423240
71030225551
oct243410010
988582216
1042864648
1122217932
1212431b20
138b5a6c8
14599b328
153b6a983
hex28e1008

42864648 has 32 divisors (see below), whose sum is σ = 110060160. Its totient is φ = 13901760.

The previous prime is 42864631. The next prime is 42864671. The reversal of 42864648 is 84646824.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23248 + ... + 25023.

It is an arithmetic number, because the mean of its divisors is an integer number (3439380).

Almost surely, 242864648 is an apocalyptic number.

It is an amenable number.

42864648 is an abundant number, since it is smaller than the sum of its proper divisors (67195512).

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

42864648 is a wasteful number, since it uses less digits than its factorization.

42864648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48317 (or 48313 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 42864648 is about 6547.1098967407. The cubic root of 42864648 is about 349.9718290251.

The spelling of 42864648 in words is "forty-two million, eight hundred sixty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 48271 96542 144813 193084 289626 386168 579252 1158504 1786027 3572054 5358081 7144108 10716162 14288216 21432324 42864648