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8041968 = 2432115077
BaseRepresentation
bin11110101011010111110000
3120010120111200
4132223113300
54024320333
6444211200
7125232654
oct36532760
916116450
108041968
1145a3060
122839b00
13188757c
1410d4a64
15a8cc13
hex7ab5f0

8041968 has 60 divisors (see below), whose sum is σ = 24557208. Its totient is φ = 2436480.

The previous prime is 8041967. The next prime is 8041991. The reversal of 8041968 is 8691408.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8041967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 955 + ... + 4122.

Almost surely, 28041968 is an apocalyptic number.

8041968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8041968 is an abundant number, since it is smaller than the sum of its proper divisors (16515240).

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

8041968 is a wasteful number, since it uses less digits than its factorization.

8041968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5102 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8041968 is about 2835.8363845610. The cubic root of 8041968 is about 200.3491235425.

It can be divided in two parts, 8041 and 968, that added together give a palindrome (9009).

The spelling of 8041968 in words is "eight million, forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 5077 10154 15231 20308 30462 40616 45693 55847 60924 81232 91386 111694 121848 167541 182772 223388 243696 335082 365544 446776 502623 670164 731088 893552 1005246 1340328 2010492 2680656 4020984 8041968