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42324656 = 24111012381
BaseRepresentation
bin1010000101110…
…1001010110000
32221122022111212
42201131022300
541313342111
64111055252
71022516333
oct241351260
987568455
1042324656
1121989160
1212211528
1389cb99a
14589a61a
153ab098b
hex285d2b0

42324656 has 40 divisors (see below), whose sum is σ = 90382608. Its totient is φ = 19040000.

The previous prime is 42324629. The next prime is 42324673. The reversal of 42324656 is 65642324.

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 7 ways as a sum of consecutive naturals, for example, 16586 + ... + 18966.

Almost surely, 242324656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42324656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45191304).

42324656 is an abundant number, since it is smaller than the sum of its proper divisors (48057952).

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

42324656 is a wasteful number, since it uses less digits than its factorization.

42324656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2495 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

The square root of 42324656 is about 6505.7402345928. The cubic root of 42324656 is about 348.4960117615.

It can be divided in two parts, 4232 and 4656, that added together give a palindrome (8888).

The spelling of 42324656 in words is "forty-two million, three hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1616 2222 2381 4444 4762 8888 9524 17776 19048 26191 38096 52382 104764 209528 240481 419056 480962 961924 1923848 2645291 3847696 5290582 10581164 21162328 42324656