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42252656 = 2419236043
BaseRepresentation
bin1010000100101…
…1100101110000
32221111122202012
42201023211300
541304041111
64105342052
71022066405
oct241134560
987448665
1042252656
112193a056
1212197928
1389a4c94
14587c2ac
153a9948b
hex284b970

42252656 has 40 divisors (see below), whose sum is σ = 89934720. Its totient is φ = 19141056.

The previous prime is 42252653. The next prime is 42252677. The reversal of 42252656 is 65625224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42252653) by changing a digit.

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, 3971 + ... + 10013.

It is an arithmetic number, because the mean of its divisors is an integer number (2248368).

Almost surely, 242252656 is an apocalyptic number.

42252656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42252656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44967360).

42252656 is an abundant number, since it is smaller than the sum of its proper divisors (47682064).

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

42252656 is a wasteful number, since it uses less digits than its factorization.

42252656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6093 (or 6087 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 42252656 is about 6500.2043044815. The cubic root of 42252656 is about 348.2982865518.

The spelling of 42252656 in words is "forty-two million, two hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 874 1748 3496 6043 6992 12086 24172 48344 96688 114817 138989 229634 277978 459268 555956 918536 1111912 1837072 2223824 2640791 5281582 10563164 21126328 42252656