Search a number
-
+
4944960 = 2632517101
BaseRepresentation
bin10010110111010001000000
3100022020012200
4102313101000
52231214320
6253553200
760013536
oct22672100
910266180
104944960
112878249
1217a5800
131041a17
1492a156
1567a290
hex4b7440

4944960 has 168 divisors, whose sum is σ = 18187416. Its totient is φ = 1228800.

The previous prime is 4944949. The next prime is 4944983. The reversal of 4944960 is 694494.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 2585664 = 1536^2 + 1608^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48910 + ... + 49010.

Almost surely, 24944960 is an apocalyptic number.

4944960 is a gapful number since it is divisible by the number (40) 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 4944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9093708).

4944960 is an abundant number, since it is smaller than the sum of its proper divisors (13242456).

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

4944960 is a wasteful number, since it uses less digits than its factorization.

4944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4944960 is about 2223.7266019005. The cubic root of 4944960 is about 170.3678309967.

The spelling of 4944960 in words is "four million, nine hundred forty-four thousand, nine hundred sixty".