Search a number
-
+
1402386048 = 2736719113
BaseRepresentation
bin101001110010110…
…1011011010000000
310121201211121000000
41103211223122000
510333002323143
6351054000000
746516041030
oct12345533200
93551747000
101402386048
1165a679438
123317a6000
1319470583b
14d43738c0
15831b6bd3
hex5396b680

1402386048 has 448 divisors, whose sum is σ = 5083761600. Its totient is φ = 376233984.

The previous prime is 1402385987. The next prime is 1402386059. The reversal of 1402386048 is 8406832041.

1402386048 is a `hidden beast` number, since 1 + 40 + 2 + 3 + 8 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 55 ways as a sum of consecutive naturals, for example, 12410440 + ... + 12410552.

Almost surely, 21402386048 is an apocalyptic number.

1402386048 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 1402386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541880800).

1402386048 is an abundant number, since it is smaller than the sum of its proper divisors (3681375552).

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

1402386048 is an equidigital number, since it uses as much as digits as its factorization.

1402386048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1402386048 is about 37448.4452013698. The cubic root of 1402386048 is about 1119.3241160173.

The spelling of 1402386048 in words is "one billion, four hundred two million, three hundred eighty-six thousand, forty-eight".