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40442292 = 223211731399
BaseRepresentation
bin1001101001000…
…1100110110100
32211002200101200
42122101212310
540323123132
64002452500
71000516362
oct232214664
984080350
1040442292
1120912990
1211664130
1384bcc67
14552a632
15383cd7c
hex26919b4

40442292 has 72 divisors (see below), whose sum is σ = 113131200. Its totient is φ = 12078720.

The previous prime is 40442273. The next prime is 40442323. The reversal of 40442292 is 29224404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28209 + ... + 29607.

Almost surely, 240442292 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 40442292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56565600).

40442292 is an abundant number, since it is smaller than the sum of its proper divisors (72688908).

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

40442292 is a wasteful number, since it uses less digits than its factorization.

40442292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40442292 is about 6359.4254457459. The cubic root of 40442292 is about 343.2510861733.

Adding to 40442292 its reverse (29224404), we get a palindrome (69666696).

It can be divided in two parts, 4044 and 2292, that added together give a palindrome (6336).

The spelling of 40442292 in words is "forty million, four hundred forty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 292 396 438 657 803 876 1314 1399 1606 2409 2628 2798 3212 4197 4818 5596 7227 8394 9636 12591 14454 15389 16788 25182 28908 30778 46167 50364 61556 92334 102127 138501 184668 204254 277002 306381 408508 554004 612762 919143 1123397 1225524 1838286 2246794 3370191 3676572 4493588 6740382 10110573 13480764 20221146 40442292