Search a number
-
+
9243947424 = 253107899917
BaseRepresentation
bin10001001101111101…
…10111000110100000
3212212020010011222010
420212332313012200
5122412422304144
64125133512520
7445034154015
oct104676670640
925766104863
109243947424
113a13a70578
12195b942740
13b44183a9a
1463999770c
153918175b9
hex226fb71a0

9243947424 has 48 divisors (see below), whose sum is σ = 24492168288. Its totient is φ = 3052515072.

The previous prime is 9243947399. The next prime is 9243947483. The reversal of 9243947424 is 4247493429.

9243947424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439687 + ... + 460230.

It is an arithmetic number, because the mean of its divisors is an integer number (510253506).

Almost surely, 29243947424 is an apocalyptic number.

It is an amenable number.

9243947424 is an abundant number, since it is smaller than the sum of its proper divisors (15248220864).

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

9243947424 is a wasteful number, since it uses less digits than its factorization.

9243947424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900037 (or 900029 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 9243947424 is about 96145.4493150872. The cubic root of 9243947424 is about 2098.7102756459.

The spelling of 9243947424 in words is "nine billion, two hundred forty-three million, nine hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 899917 1799834 2699751 3599668 5399502 7199336 10799004 14398672 21598008 28797344 43196016 86392032 96291119 192582238 288873357 385164476 577746714 770328952 1155493428 1540657904 2310986856 3081315808 4621973712 9243947424