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40554432 = 26347823
BaseRepresentation
bin1001101010110…
…0111111000000
32211022101020000
42122230333000
540340220212
64005120000
71001464332
oct232547700
984271200
1040554432
112098a166
12116b9000
13852c009
145559452
1538611dc
hex26acfc0

40554432 has 70 divisors (see below), whose sum is σ = 120231408. Its totient is φ = 13516416.

The previous prime is 40554427. The next prime is 40554463. The reversal of 40554432 is 23445504.

40554432 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 40554396 and 40554405.

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 9 ways as a sum of consecutive naturals, for example, 1273 + ... + 9095.

Almost surely, 240554432 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 40554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60115704).

40554432 is an abundant number, since it is smaller than the sum of its proper divisors (79676976).

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

40554432 is an equidigital number, since it uses as much as digits as its factorization.

40554432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847 (or 7828 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 40554432 is about 6368.2361765249. The cubic root of 40554432 is about 343.5680534870.

Adding to 40554432 its reverse (23445504), we get a palindrome (63999936).

The spelling of 40554432 in words is "forty million, five hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 7823 15646 23469 31292 46938 62584 70407 93876 125168 140814 187752 211221 250336 281628 375504 422442 500672 563256 633663 751008 844884 1126512 1267326 1502016 1689768 2253024 2534652 3379536 4506048 5069304 6759072 10138608 13518144 20277216 40554432