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40536312 = 23337191239
BaseRepresentation
bin1001101010100…
…0100011111000
32211021110100220
42122220203320
540334130222
64004500040
71001360445
oct232504370
984243326
1040536312
1120977593
12116aa620
1385239ab
1455529cc
15385ab5c
hex26a88f8

40536312 has 64 divisors (see below), whose sum is σ = 105062400. Its totient is φ = 13023360.

The previous prime is 40536311. The next prime is 40536319. The reversal of 40536312 is 21363504.

It is a happy number.

It is a super-2 number, since 2×405363122 = 3286385181122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40536311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169489 + ... + 169727.

It is an arithmetic number, because the mean of its divisors is an integer number (1641600).

Almost surely, 240536312 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 40536312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52531200).

40536312 is an abundant number, since it is smaller than the sum of its proper divisors (64526088).

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

40536312 is a wasteful number, since it uses less digits than its factorization.

40536312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 40536312 is about 6366.8133316440. The cubic root of 40536312 is about 343.5168763386.

Adding to 40536312 its reverse (21363504), we get a palindrome (61899816).

The spelling of 40536312 in words is "forty million, five hundred thirty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 191 222 239 296 382 444 478 573 717 764 888 956 1146 1434 1528 1912 2292 2868 4584 5736 7067 8843 14134 17686 21201 26529 28268 35372 42402 45649 53058 56536 70744 84804 91298 106116 136947 169608 182596 212232 273894 365192 547788 1095576 1689013 3378026 5067039 6756052 10134078 13512104 20268156 40536312