Search a number
-
+
5725823040 = 263357175569
BaseRepresentation
bin1010101010100100…
…10010000001000000
3112210001010221121000
411111102102001000
543211302314130
62344100132000
7261614456430
oct52522220100
915701127530
105725823040
112479094663
121139697000
1370333c992
143c463c2c0
15237a2a260
hex155492040

5725823040 has 448 divisors, whose sum is σ = 24447398400. Its totient is φ = 1231552512.

The previous prime is 5725823027. The next prime is 5725823093. The reversal of 5725823040 is 403285275.

5725823040 is a `hidden beast` number, since 5 + 7 + 2 + 582 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 5725822986 and 5725823004.

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, 1025376 + ... + 1030944.

Almost surely, 25725823040 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 5725823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12223699200).

5725823040 is an abundant number, since it is smaller than the sum of its proper divisors (18721575360).

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

5725823040 is a wasteful number, since it uses less digits than its factorization.

5725823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5725823040 is about 75669.1683580572. The cubic root of 5725823040 is about 1789.0094745531.

The spelling of 5725823040 in words is "five billion, seven hundred twenty-five million, eight hundred twenty-three thousand, forty".