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7990992 = 2432211263
BaseRepresentation
bin11110011110111011010000
3120000222120200
4132132323100
54021202432
6443135200
7124631232
oct36367320
916028520
107990992
114568829
122814500
13186a2c9
1410c0252
15a7ca7c
hex79eed0

7990992 has 60 divisors (see below), whose sum is σ = 22555104. Its totient is φ = 2640960.

The previous prime is 7990951. The next prime is 7990993. The reversal of 7990992 is 2990997.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7990993) 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, 30253 + ... + 30515.

Almost surely, 27990992 is an apocalyptic number.

7990992 is a gapful number since it is divisible by the number (72) 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 7990992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11277552).

7990992 is an abundant number, since it is smaller than the sum of its proper divisors (14564112).

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

7990992 is a wasteful number, since it uses less digits than its factorization.

7990992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 7990992 is about 2826.8342717606. The cubic root of 7990992 is about 199.9249051407.

The spelling of 7990992 in words is "seven million, nine hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 263 422 526 633 789 844 1052 1266 1578 1688 1899 2104 2367 2532 3156 3376 3798 4208 4734 5064 6312 7596 9468 10128 12624 15192 18936 30384 37872 55493 110986 166479 221972 332958 443944 499437 665916 887888 998874 1331832 1997748 2663664 3995496 7990992