Search a number
-
+
1379421888 = 2631317192959
BaseRepresentation
bin101001000111000…
…0100111011000000
310120010121220002120
41102032010323000
510311113000023
6344513444240
746116615105
oct12216047300
93503556076
101379421888
11648714099
12325b70680
1318ca25190
14d12b6aac
158117c8e3
hex52384ec0

1379421888 has 448 divisors, whose sum is σ = 4608576000. Its totient is φ = 359202816.

The previous prime is 1379421877. The next prime is 1379421889. The reversal of 1379421888 is 8881249731.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1379421888.

It is not an unprimeable number, because it can be changed into a prime (1379421889) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23380003 + ... + 23380061.

It is an arithmetic number, because the mean of its divisors is an integer number (10287000).

Almost surely, 21379421888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1379421888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304288000).

1379421888 is an abundant number, since it is smaller than the sum of its proper divisors (3229154112).

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

1379421888 is a wasteful number, since it uses less digits than its factorization.

1379421888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The square root of 1379421888 is about 37140.5693009679. The cubic root of 1379421888 is about 1113.1807928826.

The spelling of 1379421888 in words is "one billion, three hundred seventy-nine million, four hundred twenty-one thousand, eight hundred eighty-eight".