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42972642 = 23219125651
BaseRepresentation
bin1010001111101…
…1010111100010
32222212020101100
42203323113202
542000111032
64133015230
71031155446
oct243732742
988766340
1042972642
1122290a89
1212484516
138b978cb
1459c8826
153b8c97c
hex28fb5e2

42972642 has 24 divisors (see below), whose sum is σ = 98008560. Its totient is φ = 13570200.

The previous prime is 42972613. The next prime is 42972667. The reversal of 42972642 is 24627924.

42972642 is a `hidden beast` number, since 4 + 2 + 9 + 7 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42972597 and 42972606.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62484 + ... + 63167.

It is an arithmetic number, because the mean of its divisors is an integer number (4083690).

Almost surely, 242972642 is an apocalyptic number.

42972642 is an abundant number, since it is smaller than the sum of its proper divisors (55035918).

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

42972642 is a wasteful number, since it uses less digits than its factorization.

42972642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125678 (or 125675 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42972642 is about 6555.3521644531. The cubic root of 42972642 is about 350.2654910789.

The spelling of 42972642 in words is "forty-two million, nine hundred seventy-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 125651 251302 376953 753906 1130859 2261718 2387369 4774738 7162107 14324214 21486321 42972642