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38132406 = 23213891831
BaseRepresentation
bin1001000101110…
…1101010110110
32122202022211100
42101131222312
534230214111
63441150530
7642056124
oct221355266
978668740
1038132406
111a585494
121092b446
137b91770
1450c8914
153533756
hex245dab6

38132406 has 48 divisors (see below), whose sum is σ = 90024480. Its totient is φ = 11594880.

The previous prime is 38132399. The next prime is 38132417. The reversal of 38132406 is 60423183.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38132406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19911 + ... + 21741.

It is an arithmetic number, because the mean of its divisors is an integer number (1875510).

Almost surely, 238132406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38132406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45012240).

38132406 is an abundant number, since it is smaller than the sum of its proper divisors (51892074).

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

38132406 is a wasteful number, since it uses less digits than its factorization.

38132406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38132406 is about 6175.1442088424. The cubic root of 38132406 is about 336.5875667299.

Adding to 38132406 its reverse (60423183), we get a palindrome (98555589).

The spelling of 38132406 in words is "thirty-eight million, one hundred thirty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 178 234 267 534 801 1157 1602 1831 2314 3471 3662 5493 6942 10413 10986 16479 20826 23803 32958 47606 71409 142818 162959 214227 325918 428454 488877 977754 1466631 2118467 2933262 4236934 6355401 12710802 19066203 38132406