Search a number
-
+
4874526720 = 21332571889
BaseRepresentation
bin1001000101000101…
…10110000000000000
3110120201021121120200
410202202312000000
534440334323340
62123410005200
7231536536110
oct44242660000
913521247520
104874526720
1120815a8088
12b40576800
135c8b6964b
1434355d040
151d7e1e330
hex1228b6000

4874526720 has 336 divisors, whose sum is σ = 19321454880. Its totient is φ = 1113587712.

The previous prime is 4874526697. The next prime is 4874526721. The reversal of 4874526720 is 276254784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×48745267202 = 47522021487987916800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4874526721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2579536 + ... + 2581424.

It is an arithmetic number, because the mean of its divisors is an integer number (57504330).

Almost surely, 24874526720 is an apocalyptic number.

4874526720 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 4874526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9660727440).

4874526720 is an abundant number, since it is smaller than the sum of its proper divisors (14446928160).

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

4874526720 is a wasteful number, since it uses less digits than its factorization.

4874526720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4874526720 is about 69817.8109081057. The cubic root of 4874526720 is about 1695.5508481911.

The spelling of 4874526720 in words is "four billion, eight hundred seventy-four million, five hundred twenty-six thousand, seven hundred twenty".