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42937656 = 23361139211
BaseRepresentation
bin1010001111001…
…0110100111000
32222210110101120
42203302310320
541443001111
64132145240
71030651446
oct243626470
988713346
1042937656
1122267773
1212468220
138b849c8
1459b9b96
153b82406
hex28f2d38

42937656 has 64 divisors (see below), whose sum is σ = 110409600. Its totient is φ = 13910400.

The previous prime is 42937639. The next prime is 42937669. The reversal of 42937656 is 65673924.

42937656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (272160) is a multiple of the sum of its prime factors (420).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 203391 + ... + 203601.

It is an arithmetic number, because the mean of its divisors is an integer number (1725150).

Almost surely, 242937656 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 42937656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55204800).

42937656 is an abundant number, since it is smaller than the sum of its proper divisors (67471944).

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

42937656 is a wasteful number, since it uses less digits than its factorization.

42937656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 416 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 42937656 is about 6552.6831145722. The cubic root of 42937656 is about 350.1704095338.

The spelling of 42937656 in words is "forty-two million, nine hundred thirty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 61 122 139 183 211 244 278 366 417 422 488 556 633 732 834 844 1112 1266 1464 1668 1688 2532 3336 5064 8479 12871 16958 25437 25742 29329 33916 38613 50874 51484 58658 67832 77226 87987 101748 102968 117316 154452 175974 203496 234632 308904 351948 703896 1789069 3578138 5367207 7156276 10734414 14312552 21468828 42937656