Search a number
-
+
5225658240 = 2735111811367
BaseRepresentation
bin1001101110111100…
…10011011110000000
3111111011222221110210
410313132103132000
541200232030430
62222311554120
7243332235135
oct46736233600
914434887423
105225658240
112241825420
12101a08b940
1365382a88a
1437804258c
15208b7d2b0
hex137793780

5225658240 has 256 divisors, whose sum is σ = 18284797440. Its totient is φ = 1258905600.

The previous prime is 5225658173. The next prime is 5225658287. The reversal of 5225658240 is 428565225.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3822037 + ... + 3823403.

It is an arithmetic number, because the mean of its divisors is an integer number (71424990).

Almost surely, 25225658240 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 5225658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9142398720).

5225658240 is an abundant number, since it is smaller than the sum of its proper divisors (13059139200).

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

5225658240 is a wasteful number, since it uses less digits than its factorization.

5225658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The square root of 5225658240 is about 72288.7144719008. The cubic root of 5225658240 is about 1735.3230458166.

The spelling of 5225658240 in words is "five billion, two hundred twenty-five million, six hundred fifty-eight thousand, two hundred forty".