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40033422 = 2321113103151
BaseRepresentation
bin1001100010110…
…1110010001110
32210022220112100
42120231302032
540222032142
63550015530
7664164342
oct230556216
983286470
1040033422
1120663780
12114a75a6
1383a8b20
145461622
1537abb4c
hex262dc8e

40033422 has 96 divisors (see below), whose sum is σ = 103574016. Its totient is φ = 11016000.

The previous prime is 40033417. The next prime is 40033423. The reversal of 40033422 is 22433004.

40033422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40033395 and 40033404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40033423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265047 + ... + 265197.

It is an arithmetic number, because the mean of its divisors is an integer number (1078896).

Almost surely, 240033422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40033422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51787008).

40033422 is an abundant number, since it is smaller than the sum of its proper divisors (63540594).

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

40033422 is a wasteful number, since it uses less digits than its factorization.

40033422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 40033422 is about 6327.1970097350. The cubic root of 40033422 is about 342.0904141787.

Adding to 40033422 its reverse (22433004), we get a palindrome (62466426).

The spelling of 40033422 in words is "forty million, thirty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 103 117 143 151 198 206 234 286 302 309 429 453 618 858 906 927 1133 1287 1339 1359 1661 1854 1963 2266 2574 2678 2718 3322 3399 3926 4017 4983 5889 6798 8034 9966 10197 11778 12051 14729 14949 15553 17667 20394 21593 24102 29458 29898 31106 35334 43186 44187 46659 64779 88374 93318 129558 132561 139977 171083 194337 202189 265122 279954 342166 388674 404378 513249 606567 1026498 1213134 1539747 1819701 2224079 3079494 3639402 4448158 6672237 13344474 20016711 40033422