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40516368 = 2434611831
BaseRepresentation
bin1001101010001…
…1101100010000
32211020110000020
42122203230100
540333010433
64004223440
71001245344
oct232435420
984213006
1040516368
1120963602
121169ab80
1385178a9
145549624
153854cb3
hex26a3b10

40516368 has 40 divisors (see below), whose sum is σ = 104951616. Its totient is φ = 13468800.

The previous prime is 40516361. The next prime is 40516373. The reversal of 40516368 is 86361504.

It is a super-2 number, since 2×405163682 = 3283152151822848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40516361) 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 7 ways as a sum of consecutive naturals, for example, 21213 + ... + 23043.

Almost surely, 240516368 is an apocalyptic number.

40516368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40516368 is an abundant number, since it is smaller than the sum of its proper divisors (64435248).

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

40516368 is a wasteful number, since it uses less digits than its factorization.

40516368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 40516368 is about 6365.2468923051. The cubic root of 40516368 is about 343.4605299491.

The spelling of 40516368 in words is "forty million, five hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 461 922 1383 1831 1844 2766 3662 3688 5493 5532 7324 7376 10986 11064 14648 21972 22128 29296 43944 87888 844091 1688182 2532273 3376364 5064546 6752728 10129092 13505456 20258184 40516368