Search a number
-
+
31382904 = 2337367509
BaseRepresentation
bin111011110110…
…1110101111000
32012001102020210
41313231311320
531013223104
63040351120
7530515230
oct167556570
965042223
1031382904
1116795493
12a6154a0
13666a587
14424ccc0
152b4d989
hex1dedd78

31382904 has 64 divisors (see below), whose sum is σ = 90086400. Its totient is φ = 8924544.

The previous prime is 31382903. The next prime is 31382909. The reversal of 31382904 is 40928313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31382903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61402 + ... + 61910.

It is an arithmetic number, because the mean of its divisors is an integer number (1407600).

Almost surely, 231382904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31382904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45043200).

31382904 is an abundant number, since it is smaller than the sum of its proper divisors (58703496).

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

31382904 is a wasteful number, since it uses less digits than its factorization.

31382904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 31382904 is about 5602.0446267412. The cubic root of 31382904 is about 315.4261604052.

The spelling of 31382904 in words is "thirty-one million, three hundred eighty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 367 509 734 1018 1101 1468 1527 2036 2202 2569 2936 3054 3563 4072 4404 5138 6108 7126 7707 8808 10276 10689 12216 14252 15414 20552 21378 28504 30828 42756 61656 85512 186803 373606 560409 747212 1120818 1307621 1494424 2241636 2615242 3922863 4483272 5230484 7845726 10460968 15691452 31382904