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4288536 = 2332767127
BaseRepresentation
bin10000010111000000011000
322001212202200
4100113000120
52044213121
6231530200
751311010
oct20270030
98055680
104288536
11246a04a
121529960
13b71cc5
147d8c40
1559aa26
hex417018

4288536 has 96 divisors (see below), whose sum is σ = 13578240. Its totient is φ = 1197504.

The previous prime is 4288517. The next prime is 4288541. The reversal of 4288536 is 6358824.

4288536 is a `hidden beast` number, since 42 + 88 + 536 = 666.

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

It is a d-powerful number, because it can be written as 46 + 211 + 87 + 87 + 57 + 37 + 65 .

It is a self number, because there is not a number n which added to its sum of digits gives 4288536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33705 + ... + 33831.

It is an arithmetic number, because the mean of its divisors is an integer number (141440).

Almost surely, 24288536 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 4288536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789120).

4288536 is an abundant number, since it is smaller than the sum of its proper divisors (9289704).

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

4288536 is a wasteful number, since it uses less digits than its factorization.

4288536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4288536 is about 2070.8780746340. The cubic root of 4288536 is about 162.4686929826.

The spelling of 4288536 in words is "four million, two hundred eighty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 127 134 168 201 252 254 268 381 402 469 504 508 536 603 762 804 889 938 1016 1143 1206 1407 1524 1608 1778 1876 2286 2412 2667 2814 3048 3556 3752 4221 4572 4824 5334 5628 7112 8001 8442 8509 9144 10668 11256 16002 16884 17018 21336 25527 32004 33768 34036 51054 59563 64008 68072 76581 102108 119126 153162 178689 204216 238252 306324 357378 476504 536067 612648 714756 1072134 1429512 2144268 4288536