Search a number
-
+
948083850 = 2325272193173
BaseRepresentation
bin111000100000101…
…001110010001010
32110001222122112200
4320200221302022
53420202140400
6234024421030
732331402600
oct7040516212
92401878480
10948083850
1144719447a
12225617776
1312156087c
148dcb5870
1558378b00
hex38829c8a

948083850 has 432 divisors, whose sum is σ = 3263719680. Its totient is φ = 195955200.

The previous prime is 948083849. The next prime is 948083861. The reversal of 948083850 is 58380849.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 948083796 and 948083805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12987414 + ... + 12987486.

Almost surely, 2948083850 is an apocalyptic number.

948083850 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 948083850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631859840).

948083850 is an abundant number, since it is smaller than the sum of its proper divisors (2315635830).

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

948083850 is a wasteful number, since it uses less digits than its factorization.

948083850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 948083850 is about 30790.9702672715. The cubic root of 948083850 is about 982.3861919726.

The spelling of 948083850 in words is "nine hundred forty-eight million, eighty-three thousand, eight hundred fifty".