Search a number
-
+
40826624 = 281011579
BaseRepresentation
bin1001101110111…
…1011100000000
32211211012121012
42123233130000
540422422444
64015020052
71004010026
oct233573400
984735535
1040826624
1121055713
121180a628
1385c5b87
1455ca716
1538b6b9e
hex26ef700

40826624 has 36 divisors (see below), whose sum is σ = 82352760. Its totient is φ = 20198400.

The previous prime is 40826609. The next prime is 40826677. The reversal of 40826624 is 42662804.

It is a happy number.

40826624 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 (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 25067 + ... + 26645.

Almost surely, 240826624 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 40826624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41176380).

40826624 is an abundant number, since it is smaller than the sum of its proper divisors (41526136).

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

40826624 is a wasteful number, since it uses less digits than its factorization.

40826624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 40826624 is about 6389.5715036300. The cubic root of 40826624 is about 344.3349900652.

The spelling of 40826624 in words is "forty million, eight hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1579 1616 3158 3232 6316 6464 12632 12928 25264 25856 50528 101056 159479 202112 318958 404224 637916 1275832 2551664 5103328 10206656 20413312 40826624