Search a number
-
+
2925246688 = 25731321983
BaseRepresentation
bin1010111001011011…
…1011100011100000
321112212100221001221
42232112323203200
521442330343223
61202134104424
7132330121000
oct25626734340
97485327057
102925246688
111271253151
126977ab114
13378070300
141da708000
15121c29b5d
hexae5bb8e0

2925246688 has 288 divisors, whose sum is σ = 7747488000. Its totient is φ = 1083124224.

The previous prime is 2925246671. The next prime is 2925246689. The reversal of 2925246688 is 8866425292.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2925246689) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 35243895 + ... + 35243977.

It is an arithmetic number, because the mean of its divisors is an integer number (26901000).

Almost surely, 22925246688 is an apocalyptic number.

2925246688 is a gapful number since it is divisible by the number (28) 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 2925246688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873744000).

2925246688 is an abundant number, since it is smaller than the sum of its proper divisors (4822241312).

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

2925246688 is a wasteful number, since it uses less digits than its factorization.

2925246688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The square root of 2925246688 is about 54085.5497152428. The cubic root of 2925246688 is about 1430.1694565025.

The spelling of 2925246688 in words is "two billion, nine hundred twenty-five million, two hundred forty-six thousand, six hundred eighty-eight".