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7990056 = 233371521
BaseRepresentation
bin11110011110101100101000
3120000221022000
4132132230220
54021140211
6443131000
7124625424
oct36365450
916027260
107990056
114568058
122813a60
131869a59
1410bdb84
15a7c656
hex79eb28

7990056 has 64 divisors (see below), whose sum is σ = 22550400. Its totient is φ = 2620800.

The previous prime is 7990001. The next prime is 7990057. The reversal of 7990056 is 6500997.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7990056.

It is not an unprimeable number, because it can be changed into a prime (7990057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15076 + ... + 15596.

It is an arithmetic number, because the mean of its divisors is an integer number (352350).

Almost surely, 27990056 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 7990056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11275200).

7990056 is an abundant number, since it is smaller than the sum of its proper divisors (14560344).

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

7990056 is a wasteful number, since it uses less digits than its factorization.

7990056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 7990056 is about 2826.6687106911. The cubic root of 7990056 is about 199.9170989752.

The spelling of 7990056 in words is "seven million, nine hundred ninety thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 521 568 639 852 1042 1278 1563 1704 1917 2084 2556 3126 3834 4168 4689 5112 6252 7668 9378 12504 14067 15336 18756 28134 36991 37512 56268 73982 110973 112536 147964 221946 295928 332919 443892 665838 887784 998757 1331676 1997514 2663352 3995028 7990056