Search a number
-
+
709474896 = 2433131961109
BaseRepresentation
bin101010010010011…
…011101001010000
31211110000001121000
4222102123221100
52423111144041
6154222302000
723403302634
oct5222335120
91743001530
10709474896
11334530a99
12179727900
13b3ca8c40
146a322dc4
1542444bb6
hex2a49ba50

709474896 has 320 divisors, whose sum is σ = 2367904000. Its totient is φ = 201553920.

The previous prime is 709474873. The next prime is 709474919. The reversal of 709474896 is 698474907.

It is a happy number.

709474896 is a `hidden beast` number, since 70 + 94 + 7 + 489 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (709474873) and next prime (709474919).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6508890 + ... + 6508998.

It is an arithmetic number, because the mean of its divisors is an integer number (7399700).

Almost surely, 2709474896 is an apocalyptic number.

709474896 is a gapful number since it is divisible by the number (76) 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 709474896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183952000).

709474896 is an abundant number, since it is smaller than the sum of its proper divisors (1658429104).

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

709474896 is a wasteful number, since it uses less digits than its factorization.

709474896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 709474896 is about 26635.9699654433. The cubic root of 709474896 is about 891.8921558507.

The spelling of 709474896 in words is "seven hundred nine million, four hundred seventy-four thousand, eight hundred ninety-six".