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40148864 = 27744809
BaseRepresentation
bin1001100100100…
…1111110000000
32210112202212222
42121021332000
540234230424
63552310212
7665155040
oct231117600
983482788
1040148864
1120732488
1211542368
138419532
145491720
1537d0e5e
hex2649f80

40148864 has 32 divisors (see below), whose sum is σ = 91412400. Its totient is φ = 17206272.

The previous prime is 40148863. The next prime is 40148887. The reversal of 40148864 is 46884104.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×401488642 = 3223862560980992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40148863) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 21509 + ... + 23300.

Almost surely, 240148864 is an apocalyptic number.

It is an amenable number.

40148864 is an abundant number, since it is smaller than the sum of its proper divisors (51263536).

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

40148864 is an equidigital number, since it uses as much as digits as its factorization.

40148864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44830 (or 44818 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 40148864 is about 6336.3131235759. The cubic root of 40148864 is about 342.4189205488.

The spelling of 40148864 in words is "forty million, one hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 44809 89618 179236 313663 358472 627326 716944 1254652 1433888 2509304 2867776 5018608 5735552 10037216 20074432 40148864