Search a number
-
+
9996384 = 253313359
BaseRepresentation
bin100110001000…
…100001100000
3200210212110110
4212020201200
510024341014
6554131320
7150652656
oct46104140
920725413
109996384
115708482
123420b40
1320c0028
141482dd6
15d26d59
hex988860

9996384 has 48 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 3223680.

The previous prime is 9996373. The next prime is 9996419. The reversal of 9996384 is 4836999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1297 + ... + 4655.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 29996384 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 9996384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

9996384 is an abundant number, since it is smaller than the sum of its proper divisors (17098656).

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

9996384 is a wasteful number, since it uses less digits than its factorization.

9996384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3395 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 9996384 is about 3161.7058686728. The cubic root of 9996384 is about 215.4174977531.

The spelling of 9996384 in words is "nine million, nine hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 3359 6718 10077 13436 20154 26872 40308 53744 80616 104129 107488 161232 208258 312387 322464 416516 624774 833032 1249548 1666064 2499096 3332128 4998192 9996384