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4243764 = 2237192659
BaseRepresentation
bin10000001100000100110100
321222121100110
4100030010310
52041300024
6230543020
751033330
oct20140464
97877313
104243764
112439448
121507a70
13b57805
147c67c0
1558c629
hex40c134

4243764 has 48 divisors (see below), whose sum is σ = 11916800. Its totient is φ = 1148256.

The previous prime is 4243747. The next prime is 4243781. The reversal of 4243764 is 4673424.

It is an interprime number because it is at equal distance from previous prime (4243747) and next prime (4243781).

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 44 + 215 + 47 + 32 + 7 + 62 + 411 .

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 15 ways as a sum of consecutive naturals, for example, 267 + ... + 2925.

Almost surely, 24243764 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 4243764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958400).

4243764 is an abundant number, since it is smaller than the sum of its proper divisors (7673036).

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

4243764 is a wasteful number, since it uses less digits than its factorization.

4243764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2690 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 4243764 is about 2060.0398054407. The cubic root of 4243764 is about 161.9013268948.

The spelling of 4243764 in words is "four million, two hundred forty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 2659 5318 7977 10636 15954 18613 31908 37226 50521 55839 74452 101042 111678 151563 202084 223356 303126 353647 606252 707294 1060941 1414588 2121882 4243764