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8040438 = 233789239
BaseRepresentation
bin11110101010111111110110
3120010111102000
4132222333312
54024243223
6444200130
7125225340
oct36527766
916114360
108040438
1145a199a
122839046
131886973
1410d4290
15a8c543
hex7aaff6

8040438 has 64 divisors (see below), whose sum is σ = 20736000. Its totient is φ = 2261952.

The previous prime is 8040437. The next prime is 8040443. The reversal of 8040438 is 8340408.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8040437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33523 + ... + 33761.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 28040438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8040438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368000).

8040438 is an abundant number, since it is smaller than the sum of its proper divisors (12695562).

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

8040438 is a wasteful number, since it uses less digits than its factorization.

8040438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8040438 is about 2835.5666100446. The cubic root of 8040438 is about 200.3364171336.

The spelling of 8040438 in words is "eight million, forty thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 89 126 178 189 239 267 378 478 534 623 717 801 1246 1434 1602 1673 1869 2151 2403 3346 3738 4302 4806 5019 5607 6453 10038 11214 12906 15057 16821 21271 30114 33642 42542 45171 63813 90342 127626 148897 191439 297794 382878 446691 574317 893382 1148634 1340073 2680146 4020219 8040438