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40058816 = 26789417
BaseRepresentation
bin1001100011001…
…1111111000000
32210101012100212
42120303333000
540223340231
63550333252
7664331360
oct230637700
983335325
1040058816
1120680866
12114ba228
1383b7555
14546a9a0
1537b442b
hex2633fc0

40058816 has 28 divisors (see below), whose sum is σ = 90848688. Its totient is φ = 17167872.

The previous prime is 40058813. The next prime is 40058819. The reversal of 40058816 is 61885004.

40058816 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 (40058813) and next prime (40058819).

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40058813) 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 3 ways as a sum of consecutive naturals, for example, 44261 + ... + 45156.

It is an arithmetic number, because the mean of its divisors is an integer number (3244596).

Almost surely, 240058816 is an apocalyptic number.

It is an amenable number.

40058816 is an abundant number, since it is smaller than the sum of its proper divisors (50789872).

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

40058816 is an equidigital number, since it uses as much as digits as its factorization.

40058816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89436 (or 89426 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 40058816 is about 6329.2034253925. The cubic root of 40058816 is about 342.1627304868.

It can be divided in two parts, 4005 and 8816, that added together give a palindrome (12821).

The spelling of 40058816 in words is "forty million, fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 89417 178834 357668 625919 715336 1251838 1430672 2503676 2861344 5007352 5722688 10014704 20029408 40058816