Search a number
-
+
31086336 = 283172381
BaseRepresentation
bin111011010010…
…1011100000000
32011111100102210
41312211130000
530424230321
63030142120
7525141501
oct166453400
964440383
1031086336
1116602696
12a4b1940
1365955a8
1441b2ba8
152ae0b76
hex1da5700

31086336 has 72 divisors (see below), whose sum is σ = 87638544. Its totient is φ = 9748480.

The previous prime is 31086331. The next prime is 31086359. The reversal of 31086336 is 63368013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31086331) 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 7 ways as a sum of consecutive naturals, for example, 11866 + ... + 14246.

It is an arithmetic number, because the mean of its divisors is an integer number (1217202).

Almost surely, 231086336 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 31086336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43819272).

31086336 is an abundant number, since it is smaller than the sum of its proper divisors (56552208).

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

31086336 is a wasteful number, since it uses less digits than its factorization.

31086336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 31086336 is about 5575.5121737828. The cubic root of 31086336 is about 314.4294231410.

The spelling of 31086336 in words is "thirty-one million, eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 2381 3264 4352 4762 6528 7143 9524 13056 14286 19048 28572 38096 40477 57144 76192 80954 114288 121431 152384 161908 228576 242862 304768 323816 457152 485724 609536 647632 914304 971448 1295264 1828608 1942896 2590528 3885792 5181056 7771584 10362112 15543168 31086336