Search a number
-
+
5905122048 = 28337312127
BaseRepresentation
bin1010111111111100…
…10000001100000000
3120020112112021121000
411133332100030000
544043202401143
62413543132000
7266222465160
oct53776201400
916215467530
105905122048
112560318661
121189744000
13731529777
144003925a0
15248645bd3
hex15ff90300

5905122048 has 432 divisors, whose sum is σ = 20784046080. Its totient is φ = 1619896320.

The previous prime is 5905122037. The next prime is 5905122049. The reversal of 5905122048 is 8402215095.

5905122048 is a `hidden beast` number, since 590 + 5 + 1 + 2 + 20 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (5905122049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46496961 + ... + 46497087.

Almost surely, 25905122048 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 5905122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10392023040).

5905122048 is an abundant number, since it is smaller than the sum of its proper divisors (14878924032).

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

5905122048 is a wasteful number, since it uses less digits than its factorization.

5905122048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5905122048 is about 76844.7919380357. The cubic root of 5905122048 is about 1807.4916209732.

The spelling of 5905122048 in words is "five billion, nine hundred five million, one hundred twenty-two thousand, forty-eight".