Search a number
-
+
9122472 = 23321729257
BaseRepresentation
bin100010110011…
…001010101000
3122011110200100
4202303022220
54313404342
6523305400
7140353062
oct42631250
918143610
109122472
115170937
12307b260
131b75318
1412d6732
15c02e4c
hex8b32a8

9122472 has 96 divisors (see below), whose sum is σ = 27167400. Its totient is φ = 2752512.

The previous prime is 9122471. The next prime is 9122473. The reversal of 9122472 is 2742219.

It is an interprime number because it is at equal distance from previous prime (9122471) and next prime (9122473).

It can be written as a sum of positive squares in 4 ways, for example, as 9036036 + 86436 = 3006^2 + 294^2 .

It is not an unprimeable number, because it can be changed into a prime (9122471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35368 + ... + 35624.

Almost surely, 29122472 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 9122472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13583700).

9122472 is an abundant number, since it is smaller than the sum of its proper divisors (18044928).

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

9122472 is a wasteful number, since it uses less digits than its factorization.

9122472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 308 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 9122472 is about 3020.3430268763. The cubic root of 9122472 is about 208.9476605582.

The spelling of 9122472 in words is "nine million, one hundred twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 29 34 36 51 58 68 72 87 102 116 136 153 174 204 232 257 261 306 348 408 493 514 522 612 696 771 986 1028 1044 1224 1479 1542 1972 2056 2088 2313 2958 3084 3944 4369 4437 4626 5916 6168 7453 8738 8874 9252 11832 13107 14906 17476 17748 18504 22359 26214 29812 34952 35496 39321 44718 52428 59624 67077 78642 89436 104856 126701 134154 157284 178872 253402 268308 314568 380103 506804 536616 760206 1013608 1140309 1520412 2280618 3040824 4561236 9122472