Search a number
-
+
1401819048 = 2334741753
BaseRepresentation
bin101001110001110…
…0000111110101000
310121200202210020000
41103203200332220
510332331202143
6351033503000
746511160000
oct12343407650
93550683200
101401819048
1165a321443
12331571a60
13194567736
14d4267000
1583103bd3
hex538e0fa8

1401819048 has 400 divisors, whose sum is σ = 4941468180. Its totient is φ = 369847296.

The previous prime is 1401819047. The next prime is 1401819053. The reversal of 1401819048 is 8409181041.

It can be written as a sum of positive squares in 2 ways, for example, as 1307690244 + 94128804 = 36162^2 + 9702^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1401819043) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 26449390 + ... + 26449442.

Almost surely, 21401819048 is an apocalyptic number.

1401819048 is a gapful number since it is divisible by the number (18) 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 1401819048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470734090).

1401819048 is an abundant number, since it is smaller than the sum of its proper divisors (3539649132).

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

1401819048 is an equidigital number, since it uses as much as digits as its factorization.

1401819048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1401819048 is about 37440.8740282595. The cubic root of 1401819048 is about 1119.1732440263.

The spelling of 1401819048 in words is "one billion, four hundred one million, eight hundred nineteen thousand, forty-eight".