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9742356 = 223613257
BaseRepresentation
bin100101001010…
…100000010100
3200022222000000
4211022200110
54443223411
6544451300
7145544241
oct45124024
920288000
109742356
115554638
123319b30
132031510
1414185c8
15cc6956
hex94a814

9742356 has 84 divisors (see below), whose sum is σ = 27635412. Its totient is φ = 2985984.

The previous prime is 9742351. The next prime is 9742391. The reversal of 9742356 is 6532479.

It can be written as a sum of positive squares in 2 ways, for example, as 6170256 + 3572100 = 2484^2 + 1890^2 .

It is a super-3 number, since 3×97423563 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9742356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9742351) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 37780 + ... + 38036.

It is an arithmetic number, because the mean of its divisors is an integer number (328993).

Almost surely, 29742356 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 9742356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13817706).

9742356 is an abundant number, since it is smaller than the sum of its proper divisors (17893056).

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

9742356 is a wasteful number, since it uses less digits than its factorization.

9742356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 9742356 is about 3121.2747395896. The cubic root of 9742356 is about 213.5770900817.

Subtracting from 9742356 its product of digits (45360), we obtain a square (9696996 = 31142).

It can be divided in two parts, 97423 and 56, that added together give a palindrome (97479).

The spelling of 9742356 in words is "nine million, seven hundred forty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 257 324 351 468 486 514 702 729 771 972 1028 1053 1404 1458 1542 2106 2313 2916 3084 3159 3341 4212 4626 6318 6682 6939 9252 9477 10023 12636 13364 13878 18954 20046 20817 27756 30069 37908 40092 41634 60138 62451 83268 90207 120276 124902 180414 187353 249804 270621 360828 374706 541242 749412 811863 1082484 1623726 2435589 3247452 4871178 9742356