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7990016 = 2823259
BaseRepresentation
bin11110011110101100000000
3120000221020112
4132132230000
54021140031
6443130452
7124625336
oct36365400
916027215
107990016
114568021
122813a28
131869a28
1410bdb56
15a7c62b
hex79eb00

7990016 has 54 divisors (see below), whose sum is σ = 16954980. Its totient is φ = 3756544.

The previous prime is 7990001. The next prime is 7990057. The reversal of 7990016 is 6100997.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 135395 + ... + 135453.

Almost surely, 27990016 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 7990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477490).

7990016 is an abundant number, since it is smaller than the sum of its proper divisors (8964964).

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

7990016 is an equidigital number, since it uses as much as digits as its factorization.

7990016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 7990016 is about 2826.6616352156. The cubic root of 7990016 is about 199.9167653648.

The spelling of 7990016 in words is "seven million, nine hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 59 64 92 118 128 184 236 256 368 472 529 736 944 1058 1357 1472 1888 2116 2714 2944 3776 4232 5428 5888 7552 8464 10856 15104 16928 21712 31211 33856 43424 62422 67712 86848 124844 135424 173696 249688 347392 499376 998752 1997504 3995008 7990016