Search a number
-
+
42888528 = 24363677
BaseRepresentation
bin1010001110011…
…0110101010000
32222200222000000
42203212311100
541434413103
64131130000
71030355304
oct243466520
988628000
1042888528
1122233871
1212443900
138b68537
1459a5d04
153b72aa3
hex28e6d50

42888528 has 70 divisors (see below), whose sum is σ = 124621674. Its totient is φ = 14292288.

The previous prime is 42888499. The next prime is 42888541. The reversal of 42888528 is 82588824.

42888528 is a `hidden beast` number, since 42 + 8 + 88 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40602384 + 2286144 = 6372^2 + 1512^2 .

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 9826 + ... + 13502.

Almost surely, 242888528 is an apocalyptic number.

42888528 is a gapful number since it is divisible by the number (48) 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 42888528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62310837).

42888528 is an abundant number, since it is smaller than the sum of its proper divisors (81733146).

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

42888528 is an equidigital number, since it uses as much as digits as its factorization.

42888528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3682 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 42888528 is about 6548.9333482637. The cubic root of 42888528 is about 350.0368070135.

The spelling of 42888528 in words is "forty-two million, eight hundred eighty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3677 3888 5832 7354 11031 11664 14708 22062 29416 33093 44124 58832 66186 88248 99279 132372 176496 198558 264744 297837 397116 529488 595674 794232 893511 1191348 1588464 1787022 2382696 2680533 3574044 4765392 5361066 7148088 10722132 14296176 21444264 42888528