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40105608 = 2332921987
BaseRepresentation
bin1001100011111…
…1011010001000
32210110120112220
42120333122020
540231334413
63551334040
7664614654
oct230773210
983416486
1040105608
1120702a34
1211521320
13840293a
14547da64
1537c3223
hex263f688

40105608 has 48 divisors (see below), whose sum is σ = 103892880. Its totient is φ = 12901056.

The previous prime is 40105553. The next prime is 40105619. The reversal of 40105608 is 80650104.

40105608 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 (24).

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 11 ways as a sum of consecutive naturals, for example, 19191 + ... + 21177.

It is an arithmetic number, because the mean of its divisors is an integer number (2164435).

Almost surely, 240105608 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 40105608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51946440).

40105608 is an abundant number, since it is smaller than the sum of its proper divisors (63787272).

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

40105608 is a wasteful number, since it uses less digits than its factorization.

40105608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 40105608 is about 6332.8988622905. The cubic root of 40105608 is about 342.2959034083.

The spelling of 40105608 in words is "forty million, one hundred five thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 841 1682 1987 2523 3364 3974 5046 5961 6728 7948 10092 11922 15896 20184 23844 47688 57623 115246 172869 230492 345738 460984 691476 1382952 1671067 3342134 5013201 6684268 10026402 13368536 20052804 40105608