Search a number
-
+
9947088 = 2432671031
BaseRepresentation
bin100101111100…
…011111010000
3200201100211200
4211330133100
510021301323
6553111200
7150356154
oct45743720
920640750
109947088
115684438
1233b8500
1320a3768
14146d064
15d17443
hex97c7d0

9947088 has 60 divisors (see below), whose sum is σ = 28280928. Its totient is φ = 3263040.

The previous prime is 9947071. The next prime is 9947101. The reversal of 9947088 is 8807499.

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 11 ways as a sum of consecutive naturals, for example, 9133 + ... + 10163.

Almost surely, 29947088 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 9947088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14140464).

9947088 is an abundant number, since it is smaller than the sum of its proper divisors (18333840).

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

9947088 is a wasteful number, since it uses less digits than its factorization.

9947088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9947088 is about 3153.9004423095. The cubic root of 9947088 is about 215.0628120065.

The spelling of 9947088 in words is "nine million, nine hundred forty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1031 1072 1206 1608 2062 2412 3093 3216 4124 4824 6186 8248 9279 9648 12372 16496 18558 24744 37116 49488 69077 74232 138154 148464 207231 276308 414462 552616 621693 828924 1105232 1243386 1657848 2486772 3315696 4973544 9947088