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7989488 = 241371541
BaseRepresentation
bin11110011110100011110000
3120000220111222
4132132203300
54021130423
6443124212
7124623653
oct36364360
916026458
107989488
114567691
122813668
131869710
1410bd89a
15a7c3c8
hex79e8f0

7989488 has 40 divisors (see below), whose sum is σ = 16936416. Its totient is φ = 3628800.

The previous prime is 7989469. The next prime is 7989491. The reversal of 7989488 is 8849897.

7989488 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×79894885 (a number of 36 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14498 + ... + 15038.

Almost surely, 27989488 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 7989488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8468208).

7989488 is an abundant number, since it is smaller than the sum of its proper divisors (8946928).

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

7989488 is a wasteful number, since it uses less digits than its factorization.

7989488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 53.

The square root of 7989488 is about 2826.5682372800. The cubic root of 7989488 is about 199.9123616032.

The spelling of 7989488 in words is "seven million, nine hundred eighty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 541 568 923 1082 1136 1846 2164 3692 4328 7033 7384 8656 14066 14768 28132 38411 56264 76822 112528 153644 307288 499343 614576 998686 1997372 3994744 7989488