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40556232 = 2332896329
BaseRepresentation
bin1001101010110…
…1011011001000
32211022110200200
42122231123020
540340244412
64005132200
71001502513
oct232553310
984273620
1040556232
1120990552
12116ba060
13852ca92
145559d7a
1538619dc
hex26ad6c8

40556232 has 48 divisors (see below), whose sum is σ = 111091500. Its totient is φ = 13364736.

The previous prime is 40556231. The next prime is 40556233. The reversal of 40556232 is 23265504.

40556232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40556231) and next prime (40556233).

It can be written as a sum of positive squares in 2 ways, for example, as 40525956 + 30276 = 6366^2 + 174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40556196 and 40556205.

It is not an unprimeable number, because it can be changed into a prime (40556231) 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 11 ways as a sum of consecutive naturals, for example, 3244 + ... + 9572.

Almost surely, 240556232 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 40556232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55545750).

40556232 is an abundant number, since it is smaller than the sum of its proper divisors (70535268).

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

40556232 is a wasteful number, since it uses less digits than its factorization.

40556232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 40556232 is about 6368.3775013735. The cubic root of 40556232 is about 343.5731364772.

The spelling of 40556232 in words is "forty million, five hundred fifty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6329 6408 12658 18987 25316 37974 50632 56961 75948 113922 151896 227844 455688 563281 1126562 1689843 2253124 3379686 4506248 5069529 6759372 10139058 13518744 20278116 40556232