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3968076 = 223797487
BaseRepresentation
bin1111001000110001001100
321110121011210
433020301030
52003434301
6221014420
745504510
oct17106114
97417153
103968076
112270302
1213b4410
13a8c198
14754140
15535ad6
hex3c8c4c

3968076 has 48 divisors (see below), whose sum is σ = 10712576. Its totient is φ = 1119744.

The previous prime is 3968071. The next prime is 3968077. The reversal of 3968076 is 6708693.

It is not an unprimeable number, because it can be changed into a prime (3968071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7905 + ... + 8391.

Almost surely, 23968076 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 3968076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356288).

3968076 is an abundant number, since it is smaller than the sum of its proper divisors (6744500).

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

3968076 is a wasteful number, since it uses less digits than its factorization.

3968076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3968076 is about 1992.0030120459. The cubic root of 3968076 is about 158.3166751327.

The spelling of 3968076 in words is "three million, nine hundred sixty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 487 582 679 974 1164 1358 1461 1948 2037 2716 2922 3409 4074 5844 6818 8148 10227 13636 20454 40908 47239 94478 141717 188956 283434 330673 566868 661346 992019 1322692 1984038 3968076