Search a number
-
+
9063972 = 2232733449
BaseRepresentation
bin100010100100…
…111000100100
3122001111102200
4202210320210
54310021342
6522134500
7140020401
oct42447044
918044380
109063972
115130995
123051430
131b547c8
1412bd2a8
15be094c
hex8a4e24

9063972 has 36 divisors (see below), whose sum is σ = 23232300. Its totient is φ = 2979072.

The previous prime is 9063959. The next prime is 9063973. The reversal of 9063972 is 2793609.

9063972 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 7257636 = 1344^2 + 2694^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9063973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 904 + ... + 4352.

Almost surely, 29063972 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 9063972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11616150).

9063972 is an abundant number, since it is smaller than the sum of its proper divisors (14168328).

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

9063972 is a wasteful number, since it uses less digits than its factorization.

9063972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 9063972 is about 3010.6431206638. The cubic root of 9063972 is about 208.5000603833.

The spelling of 9063972 in words is "nine million, sixty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 3449 6898 10347 13796 20694 31041 41388 62082 124164 251777 503554 755331 1007108 1510662 2265993 3021324 4531986 9063972