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40259106 = 2341811373
BaseRepresentation
bin1001100110010…
…0111000100010
32210202101010000
42121210320202
540301242411
63554520430
7666124326
oct231447042
983671100
1040259106
11207a8298
1211596116
138457774
1454bd986
153803956
hex2664e22

40259106 has 40 divisors (see below), whose sum is σ = 90774684. Its totient is φ = 13335840.

The previous prime is 40259101. The next prime is 40259113. The reversal of 40259106 is 60195204.

It can be written as a sum of positive squares in 2 ways, for example, as 40259025 + 81 = 6345^2 + 9^2 .

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 40259106.

It is not an unprimeable number, because it can be changed into a prime (40259101) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 28636 + ... + 30008.

Almost surely, 240259106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40259106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45387342).

40259106 is an abundant number, since it is smaller than the sum of its proper divisors (50515578).

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

40259106 is a wasteful number, since it uses less digits than its factorization.

40259106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 40259106 is about 6345.0063829755. The cubic root of 40259106 is about 342.7320423057.

It can be divided in two parts, 4025 and 9106, that added together give a palindrome (13131).

The spelling of 40259106 in words is "forty million, two hundred fifty-nine thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 181 362 543 1086 1373 1629 2746 3258 4119 4887 8238 9774 12357 14661 24714 29322 37071 74142 111213 222426 248513 497026 745539 1491078 2236617 4473234 6709851 13419702 20129553 40259106