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31273242 = 237111341127
BaseRepresentation
bin111011101001…
…1000100011010
32011211211211020
41313103010122
531001220432
63034143310
7526550430
oct167230432
964754736
1031273242
1116720060
12a581b36
13662c6a0
144220d50
152b2b22c
hex1dd311a

31273242 has 128 divisors (see below), whose sum is σ = 86704128. Its totient is φ = 7257600.

The previous prime is 31273241. The next prime is 31273243. The reversal of 31273242 is 24237213.

It is an interprime number because it is at equal distance from previous prime (31273241) and next prime (31273243).

It is not an unprimeable number, because it can be changed into a prime (31273241) 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 63 ways as a sum of consecutive naturals, for example, 246183 + ... + 246309.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 231273242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31273242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43352064).

31273242 is an abundant number, since it is smaller than the sum of its proper divisors (55430886).

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

31273242 is a wasteful number, since it uses less digits than its factorization.

31273242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its digits is 2016, while the sum is 24.

The square root of 31273242 is about 5592.2483850416. The cubic root of 31273242 is about 315.0583313493.

The spelling of 31273242 in words is "thirty-one million, two hundred seventy-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 41 42 66 77 78 82 91 123 127 143 154 182 231 246 254 273 286 287 381 429 451 462 533 546 574 762 858 861 889 902 1001 1066 1353 1397 1599 1651 1722 1778 2002 2667 2706 2794 3003 3157 3198 3302 3731 4191 4953 5207 5334 5863 6006 6314 7462 8382 9471 9779 9906 10414 11193 11557 11726 15621 17589 18161 18942 19558 22386 23114 29337 31242 34671 35178 36322 36449 41041 54483 57277 58674 67691 69342 72898 82082 108966 109347 114554 123123 127127 135382 171831 203073 218694 246246 254254 343662 381381 400939 406146 473837 744601 762762 801878 947674 1202817 1421511 1489202 2233803 2405634 2843022 4467606 5212207 10424414 15636621 31273242