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40579104 = 2531393041
BaseRepresentation
bin1001101011001…
…1000000100000
32211100122001210
42122303000200
540342012404
64005430120
71001626266
oct232630040
984318053
1040579104
11209a6755
121170b340
13853a307
145564436
153868689
hex26b3020

40579104 has 48 divisors (see below), whose sum is σ = 107321760. Its totient is φ = 13424640.

The previous prime is 40579103. The next prime is 40579109. The reversal of 40579104 is 40197504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (40579103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11824 + ... + 14864.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 240579104 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 40579104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660880).

40579104 is an abundant number, since it is smaller than the sum of its proper divisors (66742656).

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

40579104 is a wasteful number, since it uses less digits than its factorization.

40579104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 40579104 is about 6370.1729960810. The cubic root of 40579104 is about 343.6377112468.

The spelling of 40579104 in words is "forty million, five hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3041 3336 4448 6082 6672 9123 12164 13344 18246 24328 36492 48656 72984 97312 145968 291936 422699 845398 1268097 1690796 2536194 3381592 5072388 6763184 10144776 13526368 20289552 40579104