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40268712 = 23311152533
BaseRepresentation
bin1001100110011…
…1001110101000
32210202212021210
42121213032220
540302044322
63555033120
7666164331
oct231471650
983685253
1040268712
1120804530
121159b7a0
13845bc53
1454c3288
15380670c
hex26673a8

40268712 has 32 divisors (see below), whose sum is σ = 109824480. Its totient is φ = 12202560.

The previous prime is 40268693. The next prime is 40268713. The reversal of 40268712 is 21786204.

40268712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×402687122 = 3243138332277888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40268712.

It is not an unprimeable number, because it can be changed into a prime (40268713) 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 7 ways as a sum of consecutive naturals, for example, 76003 + ... + 76530.

It is an arithmetic number, because the mean of its divisors is an integer number (3432015).

Almost surely, 240268712 is an apocalyptic number.

It is an amenable number.

40268712 is an abundant number, since it is smaller than the sum of its proper divisors (69555768).

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

40268712 is a wasteful number, since it uses less digits than its factorization.

40268712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152553 (or 152549 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 40268712 is about 6345.7633110604. The cubic root of 40268712 is about 342.7592992629.

The spelling of 40268712 in words is "forty million, two hundred sixty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 152533 305066 457599 610132 915198 1220264 1677863 1830396 3355726 3660792 5033589 6711452 10067178 13422904 20134356 40268712