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40181337 = 3272692371
BaseRepresentation
bin1001100101000…
…1111001011001
32210121102102200
42121101321121
540241300322
63553120413
7665351520
oct231217131
983542380
1040181337
1120754919
1211559109
13842b251
14549d4b7
1537da8ac
hex2651e59

40181337 has 24 divisors (see below), whose sum is σ = 66605760. Its totient is φ = 22865760.

The previous prime is 40181303. The next prime is 40181341. The reversal of 40181337 is 73318104.

40181337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-40181337 is a prime.

It is a super-2 number, since 2×401813372 = 3229079686215138, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40181337.

It is not an unprimeable number, because it can be changed into a prime (40181347) 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 23 ways as a sum of consecutive naturals, for example, 15762 + ... + 18132.

It is an arithmetic number, because the mean of its divisors is an integer number (2775240).

Almost surely, 240181337 is an apocalyptic number.

It is an amenable number.

40181337 is a deficient number, since it is larger than the sum of its proper divisors (26424423).

40181337 is a wasteful number, since it uses less digits than its factorization.

40181337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 40181337 is about 6338.8750579263. The cubic root of 40181337 is about 342.5112135139.

The spelling of 40181337 in words is "forty million, one hundred eighty-one thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 21 63 269 807 1883 2371 2421 5649 7113 16597 16947 21339 49791 149373 637799 1913397 4464593 5740191 13393779 40181337