Search a number
-
+
9422496 = 253232717
BaseRepresentation
bin100011111100…
…011010100000
3122201201020100
4203330122200
54403004441
6533542400
7143042556
oct43743240
918651210
109422496
115356296
1231a4a00
131c4ba55
141373bd6
15c61cb6
hex8fc6a0

9422496 has 36 divisors (see below), whose sum is σ = 26796042. Its totient is φ = 3140736.

The previous prime is 9422489. The next prime is 9422503. The reversal of 9422496 is 6942249.

It is an interprime number because it is at equal distance from previous prime (9422489) and next prime (9422503).

It can be written as a sum of positive squares in only one way, i.e., 6051600 + 3370896 = 2460^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9422496.

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, 16071 + ... + 16646.

Almost surely, 29422496 is an apocalyptic number.

9422496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9422496 is an abundant number, since it is smaller than the sum of its proper divisors (17373546).

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

9422496 is a wasteful number, since it uses less digits than its factorization.

9422496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32733 (or 32722 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 9422496 is about 3069.6084440853. The cubic root of 9422496 is about 211.2136526987.

The spelling of 9422496 in words is "nine million, four hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 32717 65434 98151 130868 196302 261736 294453 392604 523472 588906 785208 1046944 1177812 1570416 2355624 3140832 4711248 9422496