Search a number
-
+
5308115904 = 26327213172337
BaseRepresentation
bin1001111000110001…
…10110101111000000
3111200221011020010100
410330120312233000
541332334202104
62234415202400
7245353145400
oct47430665700
914627136110
105308115904
112284325053
121041816400
1366793b7b0
14384d88800
1521101a139
hex13c636bc0

5308115904 has 1008 divisors, whose sum is σ = 21628047168. Its totient is φ = 1226244096.

The previous prime is 5308115831. The next prime is 5308115971. The reversal of 5308115904 is 4095118035.

5308115904 is a `hidden beast` number, since 53 + 0 + 8 + 11 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 143462574 + ... + 143462610.

It is an arithmetic number, because the mean of its divisors is an integer number (21456396).

Almost surely, 25308115904 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 5308115904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814023584).

5308115904 is an abundant number, since it is smaller than the sum of its proper divisors (16319931264).

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

5308115904 is a wasteful number, since it uses less digits than its factorization.

5308115904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5308115904 is about 72856.8178278464. The cubic root of 5308115904 is about 1744.4028962831.

The spelling of 5308115904 in words is "five billion, three hundred eight million, one hundred fifteen thousand, nine hundred four".