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40495938 = 23717431319
BaseRepresentation
bin1001101001111…
…0101101000010
32211012101222120
42122132231002
540331332223
64003545110
71001131650
oct232365502
984171876
1040495938
112094a21a
121168b196
13850b4c2
145541dd0
15384dbe3
hex269eb42

40495938 has 64 divisors (see below), whose sum is σ = 100362240. Its totient is φ = 10628352.

The previous prime is 40495933. The next prime is 40495943. The reversal of 40495938 is 83959404.

40495938 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 (40495933) and next prime (40495943).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40495938.

It is not an unprimeable number, because it can be changed into a prime (40495933) 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 31 ways as a sum of consecutive naturals, for example, 30043 + ... + 31361.

It is an arithmetic number, because the mean of its divisors is an integer number (1568160).

Almost surely, 240495938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40495938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50181120).

40495938 is an abundant number, since it is smaller than the sum of its proper divisors (59866302).

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

40495938 is a wasteful number, since it uses less digits than its factorization.

40495938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391.

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 40495938 is about 6363.6418818158. The cubic root of 40495938 is about 343.4027913223.

The spelling of 40495938 in words is "forty million, four hundred ninety-five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 43 51 86 102 119 129 238 258 301 357 602 714 731 903 1319 1462 1806 2193 2638 3957 4386 5117 7914 9233 10234 15351 18466 22423 27699 30702 44846 55398 56717 67269 113434 134538 156961 170151 313922 340302 397019 470883 794038 941766 964189 1191057 1928378 2382114 2892567 5785134 6749323 13498646 20247969 40495938