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40232864 = 257434177
BaseRepresentation
bin1001100101111…
…0011110100000
32210201001010002
42121132132200
540244422424
63554155132
7665654660
oct231363640
983631102
1040232864
112078a601
1211582aa8
138448839
1454b41a0
1537eacae
hex265e7a0

40232864 has 48 divisors (see below), whose sum is σ = 92651328. Its totient is φ = 16837632.

The previous prime is 40232837. The next prime is 40232869. The reversal of 40232864 is 46823204.

40232864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40232869) 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, 7544 + ... + 11720.

It is an arithmetic number, because the mean of its divisors is an integer number (1930236).

Almost surely, 240232864 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 40232864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46325664).

40232864 is an abundant number, since it is smaller than the sum of its proper divisors (52418464).

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

40232864 is a wasteful number, since it uses less digits than its factorization.

40232864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 40232864 is about 6342.9381204612. The cubic root of 40232864 is about 342.6575587083.

The spelling of 40232864 in words is "forty million, two hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4177 4816 8354 9632 16708 29239 33416 58478 66832 116956 133664 179611 233912 359222 467824 718444 935648 1257277 1436888 2514554 2873776 5029108 5747552 10058216 20116432 40232864