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40261840 = 245613821
BaseRepresentation
bin1001100110010…
…1100011010000
32210202111212021
42121211203100
540301334330
63554541224
7666135313
oct231454320
983674767
1040261840
11207aa353
1211597814
138458a98
1454c097a
15380467a
hex26658d0

40261840 has 40 divisors (see below), whose sum is σ = 93875688. Its totient is φ = 16058880.

The previous prime is 40261829. The next prime is 40261849. The reversal of 40261840 is 4816204.

It can be written as a sum of positive squares in 4 ways, for example, as 1024144 + 39237696 = 1012^2 + 6264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40261849) 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, 48630 + ... + 49450.

Almost surely, 240261840 is an apocalyptic number.

40261840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40261840 is an abundant number, since it is smaller than the sum of its proper divisors (53613848).

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

40261840 is a wasteful number, since it uses less digits than its factorization.

40261840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 40261840 is about 6345.2218243336. The cubic root of 40261840 is about 342.7398004528.

The spelling of 40261840 in words is "forty million, two hundred sixty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 613 821 1226 1642 2452 3065 3284 4105 4904 6130 6568 8210 9808 12260 13136 16420 24520 32840 49040 65680 503273 1006546 2013092 2516365 4026184 5032730 8052368 10065460 20130920 40261840