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9914982 = 2371121951
BaseRepresentation
bin100101110100…
…101001100110
3200122201210120
4211310221212
510014234412
6552302410
7150163440
oct45645146
920581716
109914982
115662300
1233a1a06
132091c6c
141461490
15d0cb8c
hex974a66

9914982 has 48 divisors (see below), whose sum is σ = 24923136. Its totient is φ = 2574000.

The previous prime is 9914977. The next prime is 9914987. The reversal of 9914982 is 2894199.

9914982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9914977) and next prime (9914987).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9914987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4107 + ... + 6057.

It is an arithmetic number, because the mean of its divisors is an integer number (519232).

Almost surely, 29914982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9914982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12461568).

9914982 is an abundant number, since it is smaller than the sum of its proper divisors (15008154).

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

9914982 is a wasteful number, since it uses less digits than its factorization.

9914982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1974 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 9914982 is about 3148.8064405422. The cubic root of 9914982 is about 214.8311780910.

The spelling of 9914982 in words is "nine million, nine hundred fourteen thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 1951 2541 3902 5082 5853 11706 13657 21461 27314 40971 42922 64383 81942 128766 150227 236071 300454 450681 472142 708213 901362 1416426 1652497 3304994 4957491 9914982