Search a number
-
+
9926424 = 2332137867
BaseRepresentation
bin100101110111…
…011100011000
3200200022111100
4211313130120
510020121144
6552431400
7150242004
oct45673430
920608440
109926424
11566a962
1233a8560
132097231
141465704
15d11269
hex977718

9926424 has 24 divisors (see below), whose sum is σ = 26884260. Its totient is φ = 3308784.

The previous prime is 9926401. The next prime is 9926443. The reversal of 9926424 is 4246299.

9926424 is a `hidden beast` number, since 9 + 9 + 2 + 642 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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 d-powerful number, because it can be written as 97 + 97 + 25 + 6 + 48 + 215 + 49 .

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 5 ways as a sum of consecutive naturals, for example, 68862 + ... + 69005.

Almost surely, 29926424 is an apocalyptic number.

It is an amenable number.

9926424 is an abundant number, since it is smaller than the sum of its proper divisors (16957836).

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

9926424 is a wasteful number, since it uses less digits than its factorization.

9926424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137879 (or 137872 counting only the distinct ones).

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

The square root of 9926424 is about 3150.6227955755. The cubic root of 9926424 is about 214.9137855157.

The spelling of 9926424 in words is "nine million, nine hundred twenty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137867 275734 413601 551468 827202 1102936 1240803 1654404 2481606 3308808 4963212 9926424