Search a number
-
+
950552064 = 29337111947
BaseRepresentation
bin111000101010000…
…100011000000000
32110020122001022000
4320222010120000
53421320131224
6234153344000
732361362550
oct7052043000
92406561260
10950552064
1144861a920
12226408000
13121c16157
1490359160
15586b50c9
hex38a84600

950552064 has 640 divisors, whose sum is σ = 3771187200. Its totient is φ = 228925440.

The previous prime is 950552041. The next prime is 950552117. The reversal of 950552064 is 460255059.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20224489 + ... + 20224535.

It is an arithmetic number, because the mean of its divisors is an integer number (5892480).

Almost surely, 2950552064 is an apocalyptic number.

950552064 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885593600).

950552064 is an abundant number, since it is smaller than the sum of its proper divisors (2820635136).

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

950552064 is a wasteful number, since it uses less digits than its factorization.

950552064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 950552064 is about 30831.0243748079. The cubic root of 950552064 is about 983.2379584857.

The spelling of 950552064 in words is "nine hundred fifty million, five hundred fifty-two thousand, sixty-four".