[go: up one dir, main page]

Search a number
-
+
31316382 = 23647457
BaseRepresentation
bin111011101110…
…1100110011110
32011221001000000
41313131212132
531004111012
63035115130
7530120256
oct167354636
964831000
1031316382
111674a509
12a5a2aa6
136646206
144232966
152b38ddc
hex1ddd99e

31316382 has 56 divisors (see below), whose sum is σ = 72085536. Its totient is φ = 10194336.

The previous prime is 31316381. The next prime is 31316387. The reversal of 31316382 is 28361313.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31316381) 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 27 ways as a sum of consecutive naturals, for example, 68298 + ... + 68754.

Almost surely, 231316382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31316382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36042768).

31316382 is an abundant number, since it is smaller than the sum of its proper divisors (40769154).

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

31316382 is an equidigital number, since it uses as much as digits as its factorization.

31316382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 509 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 31316382 is about 5596.1041805885. The cubic root of 31316382 is about 315.2031342826.

Adding to 31316382 its reverse (28361313), we get a palindrome (59677695).

The spelling of 31316382 in words is "thirty-one million, three hundred sixteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 243 282 423 457 486 729 846 914 1269 1371 1458 2538 2742 3807 4113 7614 8226 11421 12339 21479 22842 24678 34263 37017 42958 64437 68526 74034 111051 128874 193311 222102 333153 386622 579933 666306 1159866 1739799 3479598 5219397 10438794 15658191 31316382