Search a number
-
+
950172444 = 2234131931383
BaseRepresentation
bin111000101000100…
…111101100011100
32110012220202120000
4320220213230130
53421221004234
6234141254300
732355222024
oct7050475434
92405822500
10950172444
11448390691
12226264390
13121b12420
149029aa84
155863c899
hex38a27b1c

950172444 has 240 divisors, whose sum is σ = 2914222080. Its totient is φ = 267338880.

The previous prime is 950172439. The next prime is 950172467. The reversal of 950172444 is 444271059.

It is a happy number.

950172444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 950172399 and 950172408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2480677 + ... + 2481059.

It is an arithmetic number, because the mean of its divisors is an integer number (12142592).

Almost surely, 2950172444 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 950172444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457111040).

950172444 is an abundant number, since it is smaller than the sum of its proper divisors (1964049636).

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

950172444 is a wasteful number, since it uses less digits than its factorization.

950172444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 950172444 is about 30824.8672989844. The cubic root of 950172444 is about 983.1070498247.

It can be divided in two parts, 95017 and 2444, that added together give a triangular number (97461 = T441).

The spelling of 950172444 in words is "nine hundred fifty million, one hundred seventy-two thousand, four hundred forty-four".