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42888872 = 23133153251
BaseRepresentation
bin1010001110011…
…0111010101000
32222200222110202
42203212322220
541434420442
64131131332
71030356305
oct243467250
988628422
1042888872
1122234054
1212443b48
138b68740
1459a60ac
153b72c32
hex28e6ea8

42888872 has 64 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 18720000.

The previous prime is 42888869. The next prime is 42888877. The reversal of 42888872 is 27888824.

It is a happy number.

42888872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42888877) by changing a digit.

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, 170747 + ... + 170997.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 242888872 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 42888872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

42888872 is an abundant number, since it is smaller than the sum of its proper divisors (48556888).

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

42888872 is a wasteful number, since it uses less digits than its factorization.

42888872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 350 counting only the distinct ones).

The product of its digits is 458752, while the sum is 47.

The square root of 42888872 is about 6548.9596120300. The cubic root of 42888872 is about 350.0377428686.

The spelling of 42888872 in words is "forty-two million, eight hundred eighty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 26 31 52 53 62 104 106 124 212 248 251 403 424 502 689 806 1004 1378 1612 1643 2008 2756 3224 3263 3286 5512 6526 6572 7781 13052 13144 13303 15562 21359 26104 26606 31124 42718 53212 62248 85436 101153 106424 170872 172939 202306 345878 404612 412393 691756 809224 824786 1383512 1649572 3299144 5361109 10722218 21444436 42888872