Search a number
-
+
9190838272 = 212721123181
BaseRepresentation
bin10001000111101000…
…10001000000000000
3212201112011221220111
420203310101000000
5122310323311042
64115555321104
7443520556600
oct104364210000
925645157814
109190838272
113996a96910
121945bb0194
13b3617a455
146328d0c00
1538bd26517
hex223d11000

9190838272 has 312 divisors, whose sum is σ = 24472348992. Its totient is φ = 3406233600.

The previous prime is 9190838263. The next prime is 9190838291. The reversal of 9190838272 is 2728380919.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50778022 + ... + 50778202.

It is an arithmetic number, because the mean of its divisors is an integer number (78437016).

Almost surely, 29190838272 is an apocalyptic number.

9190838272 is a gapful number since it is divisible by the number (92) 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 9190838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12236174496).

9190838272 is an abundant number, since it is smaller than the sum of its proper divisors (15281510720).

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

9190838272 is a wasteful number, since it uses less digits than its factorization.

9190838272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 9190838272 is about 95868.8597616557. The cubic root of 9190838272 is about 2094.6833212189.

The spelling of 9190838272 in words is "nine billion, one hundred ninety million, eight hundred thirty-eight thousand, two hundred seventy-two".