Search a number
-
+
4881742320 = 24357131072089
BaseRepresentation
bin1001000101111100…
…10111100111110000
3110121012212012112010
410202332113213300
534444211223240
62124224402520
7231655060620
oct44276274760
913535765463
104881742320
112085686294
12b42a76440
135ca4c4a30
143444ba880
151d8897280
hex122f979f0

4881742320 has 320 divisors, whose sum is σ = 18808796160. Its totient is φ = 1019879424.

The previous prime is 4881742309. The next prime is 4881742337. The reversal of 4881742320 is 232471884.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2335836 + ... + 2337924.

It is an arithmetic number, because the mean of its divisors is an integer number (58777488).

Almost surely, 24881742320 is an apocalyptic number.

4881742320 is a gapful number since it is divisible by the number (40) 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 4881742320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9404398080).

4881742320 is an abundant number, since it is smaller than the sum of its proper divisors (13927053840).

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

4881742320 is a wasteful number, since it uses less digits than its factorization.

4881742320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 4881742320 is about 69869.4662925086. The cubic root of 4881742320 is about 1696.3870582567.

The spelling of 4881742320 in words is "four billion, eight hundred eighty-one million, seven hundred forty-two thousand, three hundred twenty".