Search a number
-
+
5401987584 = 29371931853
BaseRepresentation
bin1010000011111101…
…11100101000000000
3111221110210101212020
411001332330220000
542030402100314
62252011201440
7250603064640
oct50176745000
914843711766
105401987584
112322310254
121069146280
13681217a76
14393622520
152193adda9
hex141fbca00

5401987584 has 320 divisors, whose sum is σ = 17892188160. Its totient is φ = 1413365760.

The previous prime is 5401987573. The next prime is 5401987631. The reversal of 5401987584 is 4857891045.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6332502 + ... + 6333354.

It is an arithmetic number, because the mean of its divisors is an integer number (55913088).

Almost surely, 25401987584 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 5401987584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8946094080).

5401987584 is an abundant number, since it is smaller than the sum of its proper divisors (12490200576).

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

5401987584 is a wasteful number, since it uses less digits than its factorization.

5401987584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The square root of 5401987584 is about 73498.2148354639. The cubic root of 5401987584 is about 1754.6258658157.

The spelling of 5401987584 in words is "five billion, four hundred one million, nine hundred eighty-seven thousand, five hundred eighty-four".