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4002438 = 2311237149
BaseRepresentation
bin1111010001001010000110
321112100022110
433101022012
52011034223
6221441450
746006626
oct17211206
97470273
104002438
112294100
121410286
13aa1a0b
14762886
15540d93
hex3d1286

4002438 has 48 divisors (see below), whose sum is σ = 9097200. Its totient is φ = 1172160.

The previous prime is 4002431. The next prime is 4002457. The reversal of 4002438 is 8342004.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26788 + ... + 26936.

It is an arithmetic number, because the mean of its divisors is an integer number (189525).

Almost surely, 24002438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548600).

4002438 is an abundant number, since it is smaller than the sum of its proper divisors (5094762).

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

4002438 is a wasteful number, since it uses less digits than its factorization.

4002438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4002438 is about 2000.6094071557. The cubic root of 4002438 is about 158.7723493448.

The spelling of 4002438 in words is "four million, two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 149 222 242 298 363 407 447 726 814 894 1221 1639 2442 3278 4477 4917 5513 8954 9834 11026 13431 16539 18029 26862 33078 36058 54087 60643 108174 121286 181929 363858 667073 1334146 2001219 4002438