Search a number
-
+
4288368 = 243712763
BaseRepresentation
bin10000010110111101110000
322001212112110
4100112331300
52044211433
6231525320
751310350
oct20267560
98055473
104288368
112469a07
121529840
13b71bc6
147d8b60
1559a963
hex416f70

4288368 has 40 divisors (see below), whose sum is σ = 12661888. Its totient is φ = 1225152.

The previous prime is 4288321. The next prime is 4288391. The reversal of 4288368 is 8638824.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6046 + ... + 6717.

Almost surely, 24288368 is an apocalyptic number.

4288368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4288368 is an abundant number, since it is smaller than the sum of its proper divisors (8373520).

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

4288368 is a wasteful number, since it uses less digits than its factorization.

4288368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12781 (or 12775 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 4288368 is about 2070.8375117329. The cubic root of 4288368 is about 162.4665714275.

It can be divided in two parts, 4288 and 368, that added together give a triangular number (4656 = T96).

The spelling of 4288368 in words is "four million, two hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 12763 25526 38289 51052 76578 89341 102104 153156 178682 204208 268023 306312 357364 536046 612624 714728 1072092 1429456 2144184 4288368