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40535680 = 27563337
BaseRepresentation
bin1001101010100…
…0011010000000
32211021102111111
42122220122000
540334120210
64004453104
71001355553
oct232503200
984242444
1040535680
1120977069
12116aa194
138523613
14555269a
15385a88a
hex26a8680

40535680 has 32 divisors (see below), whose sum is σ = 96907140. Its totient is φ = 16214016.

The previous prime is 40535669. The next prime is 40535681. The reversal of 40535680 is 8653504.

It can be written as a sum of positive squares in 2 ways, for example, as 39037504 + 1498176 = 6248^2 + 1224^2 .

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

It is not an unprimeable number, because it can be changed into a prime (40535681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31029 + ... + 32308.

Almost surely, 240535680 is an apocalyptic number.

40535680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40535680 is an abundant number, since it is smaller than the sum of its proper divisors (56371460).

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

40535680 is an equidigital number, since it uses as much as digits as its factorization.

40535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63356 (or 63344 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 40535680 is about 6366.7636990861. The cubic root of 40535680 is about 343.5150910768.

The spelling of 40535680 in words is "forty million, five hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 63337 126674 253348 316685 506696 633370 1013392 1266740 2026784 2533480 4053568 5066960 8107136 10133920 20267840 40535680