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7912992 = 253139593
BaseRepresentation
bin11110001011111000100000
3112220000120210
4132023320200
54011203432
6441334120
7124154643
oct36137040
915800523
107912992
11451516a
122797340
131840959
14109da5a
15a648cc
hex78be20

7912992 has 48 divisors (see below), whose sum is σ = 20956320. Its totient is φ = 2614272.

The previous prime is 7912991. The next prime is 7912999. The reversal of 7912992 is 2992197.

It is a happy number.

7912992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7912992.

It is not an unprimeable number, because it can be changed into a prime (7912991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13048 + ... + 13640.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 27912992 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 7912992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478160).

7912992 is an abundant number, since it is smaller than the sum of its proper divisors (13043328).

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

7912992 is a wasteful number, since it uses less digits than its factorization.

7912992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 737 counting only the distinct ones).

The product of its digits is 20412, while the sum is 39.

The square root of 7912992 is about 2813.0040881591. The cubic root of 7912992 is about 199.2722887263.

The spelling of 7912992 in words is "seven million, nine hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 593 834 1112 1186 1668 1779 2224 2372 3336 3558 4448 4744 6672 7116 9488 13344 14232 18976 28464 56928 82427 164854 247281 329708 494562 659416 989124 1318832 1978248 2637664 3956496 7912992