Search a number
-
+
9145944 = 2332592153
BaseRepresentation
bin100010111000…
…111001011000
3122012122212200
4202320321120
54320132234
6524010200
7140511363
oct42707130
918178780
109145944
115187535
123090960
131b82c02
1413010da
15c09d99
hex8b8e58

9145944 has 48 divisors (see below), whose sum is σ = 25201800. Its totient is φ = 2995584.

The previous prime is 9145943. The next prime is 9145957. The reversal of 9145944 is 4495419.

It is a happy number.

It is a super-2 number, since 2×91459442 = 167296583302272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9145899 and 9145908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9145943) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3172 + ... + 5324.

Almost surely, 29145944 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 9145944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600900).

9145944 is an abundant number, since it is smaller than the sum of its proper divisors (16055856).

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

9145944 is a wasteful number, since it uses less digits than its factorization.

9145944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2217 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 9145944 is about 3024.2261820175. The cubic root of 9145944 is about 209.1267136027.

The spelling of 9145944 in words is "nine million, one hundred forty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 2153 4248 4306 6459 8612 12918 17224 19377 25836 38754 51672 77508 127027 155016 254054 381081 508108 762162 1016216 1143243 1524324 2286486 3048648 4572972 9145944