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4842936 = 233373203
BaseRepresentation
bin10010011110010110111000
3100010001021000
4102132112320
52214433221
6251445000
756110230
oct22362670
910101230
104842936
11280862a
121756760
131007457
14900cc0
15659e26
hex49e5b8

4842936 has 64 divisors (see below), whose sum is σ = 15379200. Its totient is φ = 1383264.

The previous prime is 4842923. The next prime is 4842941. The reversal of 4842936 is 6392484.

It is a happy number.

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

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

It is a d-powerful number, because it can be written as 42 + 83 + 44 + 27 + 95 + 314 + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 4842936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90 + ... + 3113.

It is an arithmetic number, because the mean of its divisors is an integer number (240300).

Almost surely, 24842936 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 4842936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689600).

4842936 is an abundant number, since it is smaller than the sum of its proper divisors (10536264).

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

4842936 is a wasteful number, since it uses less digits than its factorization.

4842936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3215 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4842936 is about 2200.6671715641. The cubic root of 4842936 is about 169.1880078015.

It can be divided in two parts, 4842 and 936, that added together give a triangular number (5778 = T107).

The spelling of 4842936 in words is "four million, eight hundred forty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 3203 6406 9609 12812 19218 22421 25624 28827 38436 44842 57654 67263 76872 86481 89684 115308 134526 172962 179368 201789 230616 269052 345924 403578 538104 605367 691848 807156 1210734 1614312 2421468 4842936