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40082117 = 471137547
BaseRepresentation
bin1001100011100…
…1101011000101
32210102101022212
42120321223011
540230111432
63551033205
7664456325
oct230715305
983371285
1040082117
1120697319
121150b805
1383c503a
145475285
1537bb2b2
hex2639ac5

40082117 has 8 divisors (see below), whose sum is σ = 41302656. Its totient is φ = 38876992.

The previous prime is 40082113. The next prime is 40082131. The reversal of 40082117 is 71128004.

40082117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 40082117 - 22 = 40082113 is a prime.

It is a super-2 number, since 2×400821172 = 3213152206403378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40082092 and 40082101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40082113) 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, 1538 + ... + 9084.

It is an arithmetic number, because the mean of its divisors is an integer number (5162832).

Almost surely, 240082117 is an apocalyptic number.

40082117 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

40082117 is a deficient number, since it is larger than the sum of its proper divisors (1220539).

40082117 is a wasteful number, since it uses less digits than its factorization.

40082117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7707.

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 40082117 is about 6331.0439107623. The cubic root of 40082117 is about 342.2290595270.

The spelling of 40082117 in words is "forty million, eighty-two thousand, one hundred seventeen".

Divisors: 1 47 113 5311 7547 354709 852811 40082117