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40531264 = 261737253
BaseRepresentation
bin1001101010011…
…1010101000000
32211021012102221
42122213111000
540334000024
64004420424
71001336644
oct232472500
984235387
1040531264
1120973814
12116a7714
1385215c7
145550c24
1538593e4
hex26a7540

40531264 has 28 divisors (see below), whose sum is σ = 85162644. Its totient is φ = 19073024.

The previous prime is 40531259. The next prime is 40531319. The reversal of 40531264 is 46213504.

It can be written as a sum of positive squares in 2 ways, for example, as 37945600 + 2585664 = 6160^2 + 1608^2 .

It is a super-2 number, since 2×405312642 = 3285566722875392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 17539 + ... + 19714.

It is an arithmetic number, because the mean of its divisors is an integer number (3041523).

Almost surely, 240531264 is an apocalyptic number.

It is an amenable number.

40531264 is an abundant number, since it is smaller than the sum of its proper divisors (44631380).

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

40531264 is a wasteful number, since it uses less digits than its factorization.

40531264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37282 (or 37272 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 40531264 is about 6366.4168886431. The cubic root of 40531264 is about 343.5026163242.

Adding to 40531264 its reverse (46213504), we get a palindrome (86744768).

The spelling of 40531264 in words is "forty million, five hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 37253 74506 149012 298024 596048 633301 1192096 1266602 2384192 2533204 5066408 10132816 20265632 40531264