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40166112 = 253759771
BaseRepresentation
bin1001100100111…
…0001011100000
32210120122112210
42121032023200
540240303422
63552522120
7665256240
oct231161340
983518483
1040166112
1120744438
1211550340
13842433c
145497b20
1537d610c
hex264e2e0

40166112 has 48 divisors (see below), whose sum is σ = 120500352. Its totient is φ = 11475840.

The previous prime is 40166099. The next prime is 40166141. The reversal of 40166112 is 21166104.

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

It is a super-2 number, since 2×401661122 = 3226633106393088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29214 + ... + 30557.

It is an arithmetic number, because the mean of its divisors is an integer number (2510424).

Almost surely, 240166112 is an apocalyptic number.

40166112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40166112 is an abundant number, since it is smaller than the sum of its proper divisors (80334240).

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

40166112 is a wasteful number, since it uses less digits than its factorization.

40166112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59791 (or 59783 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 40166112 is about 6337.6740212794. The cubic root of 40166112 is about 342.4679480546.

The spelling of 40166112 in words is "forty million, one hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 59771 119542 179313 239084 358626 418397 478168 717252 836794 956336 1255191 1434504 1673588 1912672 2510382 2869008 3347176 5020764 5738016 6694352 10041528 13388704 20083056 40166112