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4278288 = 2437217107
BaseRepresentation
bin10000010100100000010000
322001100201010
4100110200100
52043401123
6231410520
751236100
oct20244020
98040633
104278288
112462383
121523a40
13b6a441
147d5200
15597993
hex414810

4278288 has 120 divisors (see below), whose sum is σ = 13740192. Its totient is φ = 1139712.

The previous prime is 4278257. The next prime is 4278289. The reversal of 4278288 is 8828724.

4278288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4278289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39931 + ... + 40037.

Almost surely, 24278288 is an apocalyptic number.

4278288 is a gapful number since it is divisible by the number (48) 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 4278288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870096).

4278288 is an abundant number, since it is smaller than the sum of its proper divisors (9461904).

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

4278288 is a wasteful number, since it uses less digits than its factorization.

4278288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 4278288 is about 2068.4022819558. The cubic root of 4278288 is about 162.3391765886.

The spelling of 4278288 in words is "four million, two hundred seventy-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 107 112 119 136 147 168 196 204 214 238 272 294 321 336 357 392 408 428 476 588 642 714 749 784 816 833 856 952 1176 1284 1428 1498 1666 1712 1819 1904 2247 2352 2499 2568 2856 2996 3332 3638 4494 4998 5136 5243 5457 5712 5992 6664 7276 8988 9996 10486 10914 11984 12733 13328 14552 15729 17976 19992 20972 21828 25466 29104 31458 35952 38199 39984 41944 43656 50932 62916 76398 83888 87312 89131 101864 125832 152796 178262 203728 251664 267393 305592 356524 534786 611184 713048 1069572 1426096 2139144 4278288