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40101993 = 331485259
BaseRepresentation
bin1001100011111…
…0100001101001
32210110101121000
42120332201221
540231230433
63551305213
7664601301
oct230764151
983411530
1040101993
1120700248
121151b209
1384010b9
14547c601
1537c2113
hex263e869

40101993 has 8 divisors (see below), whose sum is σ = 59410400. Its totient is φ = 26734644.

The previous prime is 40101967. The next prime is 40102001. The reversal of 40101993 is 39910104.

40101993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40101993 - 25 = 40101961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1485259 = 40101993 / (4 + 0 + 1 + 0 + 1 + 9 + 9 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40101923) 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, 742603 + ... + 742656.

It is an arithmetic number, because the mean of its divisors is an integer number (7426300).

Almost surely, 240101993 is an apocalyptic number.

It is an amenable number.

40101993 is a deficient number, since it is larger than the sum of its proper divisors (19308407).

40101993 is a wasteful number, since it uses less digits than its factorization.

40101993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485268 (or 1485262 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 40101993 is about 6332.6134415421. The cubic root of 40101993 is about 342.2856185883.

The spelling of 40101993 in words is "forty million, one hundred one thousand, nine hundred ninety-three".

Divisors: 1 3 9 27 1485259 4455777 13367331 40101993