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40553832 = 23311295297
BaseRepresentation
bin1001101010110…
…0110101101000
32211022100101210
42122230311220
540340210312
64005113120
71001462514
oct232546550
984270353
1040553832
1120989770
12116b87a0
13852b967
145559144
153860e3c
hex26acd68

40553832 has 64 divisors (see below), whose sum is σ = 114436800. Its totient is φ = 11863040.

The previous prime is 40553831. The next prime is 40553869. The reversal of 40553832 is 23835504.

40553832 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 2×405538322 = 3289226579768448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40553832.

It is not an unprimeable number, because it can be changed into a prime (40553831) 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 15 ways as a sum of consecutive naturals, for example, 5008 + ... + 10304.

It is an arithmetic number, because the mean of its divisors is an integer number (1788075).

Almost surely, 240553832 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 40553832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57218400).

40553832 is an abundant number, since it is smaller than the sum of its proper divisors (73882968).

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

40553832 is a wasteful number, since it uses less digits than its factorization.

40553832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 40553832 is about 6368.1890675450. The cubic root of 40553832 is about 343.5663591235.

It can be divided in two parts, 4055 and 3832, that added together give a palindrome (7887).

The spelling of 40553832 in words is "forty million, five hundred fifty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 5297 7656 10594 15891 21188 31782 42376 58267 63564 116534 127128 153613 174801 233068 307226 349602 460839 466136 614452 699204 921678 1228904 1398408 1689743 1843356 3379486 3686712 5069229 6758972 10138458 13517944 20276916 40553832