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8042008 = 2313531459
BaseRepresentation
bin11110101011011000011000
3120010120120011
4132223120120
54024321013
6444211304
7125233042
oct36533030
916116504
108042008
1145a3097
122839b34
1318875b0
1410d4a92
15a8cc3d
hex7ab618

8042008 has 32 divisors (see below), whose sum is σ = 16556400. Its totient is φ = 3639168.

The previous prime is 8041993. The next prime is 8042009. The reversal of 8042008 is 8002408.

8042008 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 8042008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8042009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4783 + ... + 6241.

Almost surely, 28042008 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 8042008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8278200).

8042008 is an abundant number, since it is smaller than the sum of its proper divisors (8514392).

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

8042008 is a wasteful number, since it uses less digits than its factorization.

8042008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 8042008 is about 2835.8434371453. The cubic root of 8042008 is about 200.3494557146.

The spelling of 8042008 in words is "eight million, forty-two thousand, eight".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 1459 2756 2918 5512 5836 11672 18967 37934 75868 77327 151736 154654 309308 618616 1005251 2010502 4021004 8042008