Search a number
-
+
948890700 = 223552172297
BaseRepresentation
bin111000100011101…
…110110001001100
32110010111122100000
4320203232301030
53420404000300
6234054004300
732341303122
oct7043566114
92403448300
10948890700
1144769569a
12225946690
13121783bb4
1490045912
1558487c00
hex388eec4c

948890700 has 216 divisors, whose sum is σ = 3267259632. Its totient is φ = 238049280.

The previous prime is 948890699. The next prime is 948890773. The reversal of 948890700 is 7098849.

948890700 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 411952 + ... + 414248.

It is an arithmetic number, because the mean of its divisors is an integer number (15126202).

Almost surely, 2948890700 is an apocalyptic number.

948890700 is a gapful number since it is divisible by the number (90) 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 948890700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633629816).

948890700 is an abundant number, since it is smaller than the sum of its proper divisors (2318368932).

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

948890700 is a wasteful number, since it uses less digits than its factorization.

948890700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 948890700 is about 30804.0695363454. The cubic root of 948890700 is about 982.6647937551.

The spelling of 948890700 in words is "nine hundred forty-eight million, eight hundred ninety thousand, seven hundred".