Search a number
-
+
9947459424 = 2537217196547
BaseRepresentation
bin10010100001110101…
…00010111101100000
3221200020220022000010
421100322202331200
5130333022200144
64323024324520
7501336003300
oct112072427540
927606808003
109947459424
114245099551
121b17473740
13c26b52886
146a51a7600
153d34805b9
hex250ea2f60

9947459424 has 288 divisors, whose sum is σ = 33859969920. Its totient is φ = 2533773312.

The previous prime is 9947459377. The next prime is 9947459437. The reversal of 9947459424 is 4249547499.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1516119 + ... + 1522665.

It is an arithmetic number, because the mean of its divisors is an integer number (117569340).

Almost surely, 29947459424 is an apocalyptic number.

9947459424 is the 53312-nd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9947459424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16929984960).

9947459424 is an abundant number, since it is smaller than the sum of its proper divisors (23912510496).

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

9947459424 is a wasteful number, since it uses less digits than its factorization.

9947459424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6595 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The square root of 9947459424 is about 99736.9511465034. The cubic root of 9947459424 is about 2150.6548878641.

The spelling of 9947459424 in words is "nine billion, nine hundred forty-seven million, four hundred fifty-nine thousand, four hundred twenty-four".