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42783246 = 232111731249
BaseRepresentation
bin1010001100110…
…1001000001110
32222111121120200
42203031020032
541423030441
64124554330
71026436332
oct243151016
988447520
1042783246
1122171760
12123b29a6
138b2c63c
1459797c2
153b517b6
hex28cd20e

42783246 has 48 divisors (see below), whose sum is σ = 101790000. Its totient is φ = 12879360.

The previous prime is 42783241. The next prime is 42783253. The reversal of 42783246 is 64238724.

It is a super-2 number, since 2×427832462 = 3660812276593032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42783246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42783241) 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 23 ways as a sum of consecutive naturals, for example, 33630 + ... + 34878.

It is an arithmetic number, because the mean of its divisors is an integer number (2120625).

Almost surely, 242783246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42783246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50895000).

42783246 is an abundant number, since it is smaller than the sum of its proper divisors (59006754).

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

42783246 is a wasteful number, since it uses less digits than its factorization.

42783246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1438 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42783246 is about 6540.8903063727. The cubic root of 42783246 is about 349.7501509383.

The spelling of 42783246 in words is "forty-two million, seven hundred eighty-three thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 173 198 346 519 1038 1249 1557 1903 2498 3114 3747 3806 5709 7494 11241 11418 13739 17127 22482 27478 34254 41217 82434 123651 216077 247302 432154 648231 1296462 1944693 2376847 3889386 4753694 7130541 14261082 21391623 42783246