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40648144 = 2419133711
BaseRepresentation
bin1001101100001…
…1110111010000
32211111010202211
42123003313100
540401220034
64011121504
71002334465
oct233036720
984433684
1040648144
1120a43609
1211743294
138562874
14558166c
15387dd64
hex26c3dd0

40648144 has 20 divisors (see below), whose sum is σ = 82901440. Its totient is φ = 19254240.

The previous prime is 40648093. The next prime is 40648213. The reversal of 40648144 is 44184604.

40648144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×406481442 = 3304543221289472, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 66552 + ... + 67159.

It is an arithmetic number, because the mean of its divisors is an integer number (4145072).

Almost surely, 240648144 is an apocalyptic number.

It is an amenable number.

40648144 is an abundant number, since it is smaller than the sum of its proper divisors (42253296).

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

40648144 is a wasteful number, since it uses less digits than its factorization.

40648144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133738 (or 133732 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 40648144 is about 6375.5896982162. The cubic root of 40648144 is about 343.8324855938.

The spelling of 40648144 in words is "forty million, six hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 133711 267422 534844 1069688 2139376 2540509 5081018 10162036 20324072 40648144