Search a number
-
+
900423376 = 24193139463
BaseRepresentation
bin110101101010110…
…101111011010000
32022202022020122221
4311222311323100
53321002022001
6225203110424
731212321016
oct6552657320
92282266587
10900423376
114222a1456
12211672414
131147142c8
148782a8b6
15540b21a1
hex35ab5ed0

900423376 has 40 divisors (see below), whose sum is σ = 1842451520. Its totient is φ = 425108736.

The previous prime is 900423373. The next prime is 900423409. The reversal of 900423376 is 673324009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900423373) by changing a digit.

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, 90421 + ... + 99883.

It is an arithmetic number, because the mean of its divisors is an integer number (46061288).

Almost surely, 2900423376 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 900423376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921225760).

900423376 is an abundant number, since it is smaller than the sum of its proper divisors (942028144).

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

900423376 is a wasteful number, since it uses less digits than its factorization.

900423376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9803 (or 9797 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 900423376 is about 30007.0554370135. The cubic root of 900423376 is about 965.6407553292.

The spelling of 900423376 in words is "nine hundred million, four hundred twenty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 313 626 1252 2504 5008 5947 9463 11894 18926 23788 37852 47576 75704 95152 151408 179797 359594 719188 1438376 2876752 2961919 5923838 11847676 23695352 47390704 56276461 112552922 225105844 450211688 900423376