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9128272 = 2429103191
BaseRepresentation
bin100010110100…
…100101010000
3122011202122011
4202310211100
54314101042
6523352304
7140406016
oct42644520
918152564
109128272
11517522a
123082694
131b77b5a
1412d88b6
15c04a17
hex8b4950

9128272 has 40 divisors (see below), whose sum is σ = 18570240. Its totient is φ = 4341120.

The previous prime is 9128267. The next prime is 9128297. The reversal of 9128272 is 2728219.

9128272 = T233 + T234 + ... + T406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47697 + ... + 47887.

It is an arithmetic number, because the mean of its divisors is an integer number (464256).

Almost surely, 29128272 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 9128272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285120).

9128272 is an abundant number, since it is smaller than the sum of its proper divisors (9441968).

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

9128272 is a wasteful number, since it uses less digits than its factorization.

9128272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 9128272 is about 3021.3030301511. The cubic root of 9128272 is about 208.9919336340.

It can be divided in two parts, 91 and 28272, that multiplied together give a palindrome (2572752).

The spelling of 9128272 in words is "nine million, one hundred twenty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 58 103 116 191 206 232 382 412 464 764 824 1528 1648 2987 3056 5539 5974 11078 11948 19673 22156 23896 39346 44312 47792 78692 88624 157384 314768 570517 1141034 2282068 4564136 9128272