Search a number
-
+
31058196 = 22313263757
BaseRepresentation
bin111011001111…
…0100100010100
32011102220211120
41312132210110
530422330241
63025403540
7524663451
oct166364424
964386746
1031058196
1116593534
12a4995b0
136585840
1441a6828
152ad7666
hex1d9e914

31058196 has 48 divisors (see below), whose sum is σ = 78443904. Its totient is φ = 9507456.

The previous prime is 31058191. The next prime is 31058213. The reversal of 31058196 is 69185013.

It is a super-2 number, since 2×310581962 = 1929223077548832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31058191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40650 + ... + 41406.

It is an arithmetic number, because the mean of its divisors is an integer number (1634248).

Almost surely, 231058196 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 31058196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39221952).

31058196 is an abundant number, since it is smaller than the sum of its proper divisors (47385708).

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

31058196 is a wasteful number, since it uses less digits than its factorization.

31058196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 31058196 is about 5572.9880674554. The cubic root of 31058196 is about 314.3345184737.

The spelling of 31058196 in words is "thirty-one million, fifty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 263 526 757 789 1052 1514 1578 2271 3028 3156 3419 4542 6838 9084 9841 10257 13676 19682 20514 29523 39364 41028 59046 118092 199091 398182 597273 796364 1194546 2389092 2588183 5176366 7764549 10352732 15529098 31058196