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40414644 = 22321766037
BaseRepresentation
bin1001101000101…
…0110110110100
32211001021110200
42122022312310
540321232034
64002120500
71000342644
oct232126664
984037420
1040414644
11208a4136
1211650130
1384b04ba
145520524
153834a99
hex268adb4

40414644 has 36 divisors (see below), whose sum is σ = 108170244. Its totient is φ = 12678912.

The previous prime is 40414639. The next prime is 40414651. The reversal of 40414644 is 44641404.

40414644 is a `hidden beast` number, since 4 + 0 + 4 + 14 + 644 = 666.

40414644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34363044 + 6051600 = 5862^2 + 2460^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 32407 + ... + 33630.

It is an arithmetic number, because the mean of its divisors is an integer number (3004729).

Almost surely, 240414644 is an apocalyptic number.

It is an amenable number.

40414644 is an abundant number, since it is smaller than the sum of its proper divisors (67755600).

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

40414644 is a wasteful number, since it uses less digits than its factorization.

40414644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66064 (or 66059 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 40414644 is about 6357.2512928152. The cubic root of 40414644 is about 343.1728481951.

The spelling of 40414644 in words is "forty million, four hundred fourteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 66037 132074 198111 264148 396222 594333 792444 1122629 1188666 2245258 2377332 3367887 4490516 6735774 10103661 13471548 20207322 40414644