Search a number
-
+
901265232 = 243723147263
BaseRepresentation
bin110101101110000…
…011011101010000
32022210220000110210
4311232003131100
53321210441412
6225233124120
731222425300
oct6556033520
92283800423
10901265232
114228169aa
122119b9640
1311494a54a
14879a9600
15541cb83c
hex35b83750

901265232 has 240 divisors, whose sum is σ = 2866102272. Its totient is φ = 242968320.

The previous prime is 901265231. The next prime is 901265257. The reversal of 901265232 is 232562109.

901265232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 901265232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901265231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3426733 + ... + 3426995.

Almost surely, 2901265232 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 901265232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433051136).

901265232 is an abundant number, since it is smaller than the sum of its proper divisors (1964837040).

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

901265232 is a wasteful number, since it uses less digits than its factorization.

901265232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 901265232 is about 30021.0797940381. The cubic root of 901265232 is about 965.9416053758.

The spelling of 901265232 in words is "nine hundred one million, two hundred sixty-five thousand, two hundred thirty-two".