Search a number
-
+
4974281928 = 233671121953
BaseRepresentation
bin1001010000111110…
…11000010011001000
3110211122222201000000
410220133120103020
540141404010203
62141332043000
7234160461450
oct45037302310
913748881000
104974281928
112122941700
12b69a63460
136137258b5
143528c8d60
151e1a764a3
hex1287d84c8

4974281928 has 672 divisors, whose sum is σ = 18839822400. Its totient is φ = 1200925440.

The previous prime is 4974281863. The next prime is 4974281933. The reversal of 4974281928 is 8291824794.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 93854350 + ... + 93854402.

It is an arithmetic number, because the mean of its divisors is an integer number (28035450).

Almost surely, 24974281928 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 4974281928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9419911200).

4974281928 is an abundant number, since it is smaller than the sum of its proper divisors (13865540472).

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

4974281928 is a wasteful number, since it uses less digits than its factorization.

4974281928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 4974281928 is about 70528.5894371921. The cubic root of 4974281928 is about 1707.0390865800.

The spelling of 4974281928 in words is "four billion, nine hundred seventy-four million, two hundred eighty-one thousand, nine hundred twenty-eight".