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40527672 = 23343173227
BaseRepresentation
bin1001101010011…
…0011100111000
32211021000111220
42122212130320
540333341142
64004352040
71001323323
oct232463470
984230456
1040527672
1120971049
12116a5620
13851ca93
14554d7ba
1538582ec
hex26a6738

40527672 has 64 divisors (see below), whose sum is σ = 104734080. Its totient is φ = 13060992.

The previous prime is 40527671. The next prime is 40527701. The reversal of 40527672 is 27672504.

40527672 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 not an unprimeable number, because it can be changed into a prime (40527671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 178423 + ... + 178649.

It is an arithmetic number, because the mean of its divisors is an integer number (1636470).

Almost surely, 240527672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40527672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52367040).

40527672 is an abundant number, since it is smaller than the sum of its proper divisors (64206408).

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

40527672 is a wasteful number, since it uses less digits than its factorization.

40527672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 40527672 is about 6366.1347770841. The cubic root of 40527672 is about 343.4924686199.

The spelling of 40527672 in words is "forty million, five hundred twenty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 173 227 258 344 346 454 516 519 681 692 908 1032 1038 1362 1384 1816 2076 2724 4152 5448 7439 9761 14878 19522 22317 29283 29756 39044 39271 44634 58566 59512 78088 78542 89268 117132 117813 157084 178536 234264 235626 314168 471252 942504 1688653 3377306 5065959 6754612 10131918 13509224 20263836 40527672