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40981434 = 23131035101
BaseRepresentation
bin1001110001010…
…1001110111010
32212010001221220
42130111032322
540442401214
64022212510
71005223254
oct234251672
985101856
1040981434
1121150a5a
1211884136
13864b490
14562acd4
1538e79a9
hex27153ba

40981434 has 32 divisors (see below), whose sum is σ = 89142144. Its totient is φ = 12484800.

The previous prime is 40981417. The next prime is 40981439. The reversal of 40981434 is 43418904.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40981395 and 40981404.

It is not an unprimeable number, because it can be changed into a prime (40981439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5484 + ... + 10584.

It is an arithmetic number, because the mean of its divisors is an integer number (2785692).

Almost surely, 240981434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40981434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44571072).

40981434 is an abundant number, since it is smaller than the sum of its proper divisors (48160710).

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

40981434 is a wasteful number, since it uses less digits than its factorization.

40981434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 40981434 is about 6401.6743122405. The cubic root of 40981434 is about 344.7696677236.

The spelling of 40981434 in words is "forty million, nine hundred eighty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 103 206 309 618 1339 2678 4017 5101 8034 10202 15303 30606 66313 132626 198939 397878 525403 1050806 1576209 3152418 6830239 13660478 20490717 40981434