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40041408 = 2631118959
BaseRepresentation
bin1001100010111…
…1101111000000
32210100022111010
42120233233000
540222311113
63550120520
7664226541
oct230575700
983308433
1040041408
1120669780
12114b0140
1383ac654
1454644c8
1537ae1c3
hex262fbc0

40041408 has 56 divisors (see below), whose sum is σ = 115580160. Its totient is φ = 12133120.

The previous prime is 40041389. The next prime is 40041451. The reversal of 40041408 is 80414004.

40041408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7368 + ... + 11591.

Almost surely, 240041408 is an apocalyptic number.

40041408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40041408 is an abundant number, since it is smaller than the sum of its proper divisors (75538752).

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

40041408 is a wasteful number, since it uses less digits than its factorization.

40041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18985 (or 18975 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 40041408 is about 6327.8280634037. The cubic root of 40041408 is about 342.1131597770.

The spelling of 40041408 in words is "forty million, forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 18959 37918 56877 75836 113754 151672 208549 227508 303344 417098 455016 606688 625647 834196 910032 1213376 1251294 1668392 1820064 2502588 3336784 3640128 5005176 6673568 10010352 13347136 20020704 40041408