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7263828 = 22 ⋅ 32 ⋅ 11 ⋅ 13 ⋅ 17 ⋅ 83
BaseRepresentation
bin11011101101011001010100
3111200001002200
4123231121110
53324420303
6415404500
7115512225
oct33553124
914601080
107263828
114111470
122523730
131674330
14d7124c
159873a3
hex6ed654

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(max 15 digits)

7263828 has 144 divisors (see below), whose sum is σ = 23115456. Its totient is φ = 1889280.

The previous prime is 7263821. The next prime is 7263829. The reversal of 7263828 is 8283627.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 7263792 and 7263801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7263821) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 87475 + ... + 87557.

It is an arithmetic number, because the mean of its divisors is an integer number (160524).

Almost surely, 27263828 is an apocalyptic number.

7263828 is a gapful number since it is divisible by the number (78) 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 7263828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728).

7263828 is an abundant number, since it is smaller than the sum of its proper divisors (15851628).

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

7263828 is a wasteful number, since it uses less digits than its factorization.

7263828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7263828 is about 2695.1489754743. The cubic root of 7263828 is about 193.6668032674. Note that the first 3 decimals are identical.

It can be divided in two parts, 726 and 3828, that added together give a palindrome (4554).

The spelling of 7263828 in words is "seven million, two hundred sixty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 17 18 22 26 33 34 36 39 44 51 52 66 68 78 83 99 102 117 132 143 153 156 166 187 198 204 221 234 249 286 306 332 374 396 429 442 468 498 561 572 612 663 747 748 858 884 913 996 1079 1122 1287 1326 1411 1494 1683 1716 1826 1989 2158 2244 2431 2574 2652 2739 2822 2988 3237 3366 3652 3978 4233 4316 4862 5148 5478 5644 6474 6732 7293 7956 8217 8466 9711 9724 10956 11869 12699 12948 14586 15521 16434 16932 18343 19422 21879 23738 25398 29172 31042 32868 35607 36686 38844 43758 46563 47476 50796 55029 62084 71214 73372 87516 93126 106821 110058 139689 142428 165087 186252 201773 213642 220116 279378 330174 403546 427284 558756 605319 660348 807092 1210638 1815957 2421276 3631914 7263828