Search a number
-
+
40106826 = 234298537
BaseRepresentation
bin1001100011111…
…1101101001010
32210110122020000
42120333231022
540231404301
63551343430
7664621344
oct230775512
983418200
1040106826
1120703941
1211521b76
138403366
145480294
1537c3786
hex263fb4a

40106826 has 40 divisors (see below), whose sum is σ = 92978820. Its totient is φ = 12906432.

The previous prime is 40106809. The next prime is 40106837. The reversal of 40106826 is 62860104.

It can be written as a sum of positive squares in 2 ways, for example, as 38007225 + 2099601 = 6165^2 + 1449^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 40106826.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 430 + ... + 8966.

Almost surely, 240106826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40106826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46489410).

40106826 is an abundant number, since it is smaller than the sum of its proper divisors (52871994).

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

40106826 is a wasteful number, since it uses less digits than its factorization.

40106826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8580 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40106826 is about 6332.9950260520. The cubic root of 40106826 is about 342.2993685279.

The spelling of 40106826 in words is "forty million, one hundred six thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 4698 8537 17074 25611 51222 76833 153666 230499 247573 460998 495146 691497 742719 1382994 1485438 2228157 4456314 6684471 13368942 20053413 40106826