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40475920 = 245505949
BaseRepresentation
bin1001101001100…
…1110100010000
32211011101112011
42122121310100
540330212140
64003312304
71001016412
oct232316420
984141464
1040475920
1120936181
121167b694
138502364
1455389b2
153847cea
hex2699d10

40475920 has 20 divisors (see below), whose sum is σ = 94106700. Its totient is φ = 16190336.

The previous prime is 40475881. The next prime is 40475921. The reversal of 40475920 is 2957404.

It can be written as a sum of positive squares in 2 ways, for example, as 30338064 + 10137856 = 5508^2 + 3184^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (40475921) 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, 252895 + ... + 253054.

It is an arithmetic number, because the mean of its divisors is an integer number (4705335).

Almost surely, 240475920 is an apocalyptic number.

40475920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40475920 is an abundant number, since it is smaller than the sum of its proper divisors (53630780).

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

40475920 is a wasteful number, since it uses less digits than its factorization.

40475920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505962 (or 505956 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 40475920 is about 6362.0688459023. The cubic root of 40475920 is about 343.3461982381.

The spelling of 40475920 in words is "forty million, four hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 505949 1011898 2023796 2529745 4047592 5059490 8095184 10118980 20237960 40475920