Search a number
-
+
5040947520 = 2638574
BaseRepresentation
bin1001011000111011…
…01100000101000000
3111000022102200000000
410230131230011000
540310440310040
62152113000000
7235630230000
oct45435540500
914008380000
105040947520
112157535534
12b88253000
136244977ab
1435b6c0000
151e7844130
hex12c76c140

5040947520 has 630 divisors, whose sum is σ = 21004256442. Its totient is φ = 1152216576.

The previous prime is 5040947503. The next prime is 5040947521. The reversal of 5040947520 is 257490405.

5040947520 is a `hidden beast` number, since 5 + 0 + 40 + 94 + 7 + 520 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4032758016 + 1008189504 = 63504^2 + 31752^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a super-2 number, since 2×50409475202 = 50822303798788300800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040947521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 720135357 + ... + 720135363.

Almost surely, 25040947520 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 5040947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10502128221).

5040947520 is an abundant number, since it is smaller than the sum of its proper divisors (15963308922).

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

5040947520 is an frugal number, since it uses more digits than its factorization.

5040947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5040947520 is about 70999.6304215733. The cubic root of 5040947520 is about 1714.6312132202.

The spelling of 5040947520 in words is "five billion, forty million, nine hundred forty-seven thousand, five hundred twenty".