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40626 = 2323761
BaseRepresentation
bin1001111010110010
32001201200
421322302
52300001
6512030
7226305
oct117262
961650
1040626
1128583
121b616
1315651
1410b3c
15c086
hex9eb2

40626 has 24 divisors (see below), whose sum is σ = 91884. Its totient is φ = 12960.

The previous prime is 40609. The next prime is 40627. The reversal of 40626 is 62604.

It can be divided in two parts, 40 and 626, that added together give a palindrome (666).

40626 = 252 + 262 + ... + 512.

40626 is a `hidden beast` number, since 40 + 626 = 666.

40626 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 40401 + 225 = 201^2 + 15^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40599 and 40608.

It is not an unprimeable number, because it can be changed into a prime (40627) by changing a digit.

40626 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 636 + ... + 696.

240626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45942).

40626 is an abundant number, since it is smaller than the sum of its proper divisors (51258).

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

40626 is a wasteful number, since it uses less digits than its factorization.

40626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40626 is about 201.5589243869. The cubic root of 40626 is about 34.3770037399.

The spelling of 40626 in words is "forty thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 37 61 74 111 122 183 222 333 366 549 666 1098 2257 4514 6771 13542 20313 40626