Search a number
-
+
31539942 = 235773127
BaseRepresentation
bin111100001010…
…0001011100110
32012100101200000
41320110023212
531033234232
63044002130
7532041120
oct170241346
965311600
1031539942
1116892475
12a690346
1366c3bb5
144290210
152b8027c
hex1e142e6

31539942 has 96 divisors (see below), whose sum is σ = 82747392. Its totient is φ = 8817984.

The previous prime is 31539931. The next prime is 31539967. The reversal of 31539942 is 24993513.

It is a happy number.

31539942 is a `hidden beast` number, since 31 + 539 + 94 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31539897 and 31539906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248283 + ... + 248409.

It is an arithmetic number, because the mean of its divisors is an integer number (861952).

Almost surely, 231539942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31539942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41373696).

31539942 is an abundant number, since it is smaller than the sum of its proper divisors (51207450).

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

31539942 is a wasteful number, since it uses less digits than its factorization.

31539942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 31539942 is about 5616.0432690641. The cubic root of 31539942 is about 315.9514092354.

The spelling of 31539942 in words is "thirty-one million, five hundred thirty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 81 126 127 146 162 189 219 243 254 378 381 438 486 511 567 657 762 889 1022 1134 1143 1314 1533 1701 1778 1971 2286 2667 3066 3402 3429 3942 4599 5334 5913 6858 8001 9198 9271 10287 11826 13797 16002 17739 18542 20574 24003 27594 27813 30861 35478 41391 48006 55626 61722 64897 72009 82782 83439 124173 129794 144018 166878 194691 216027 248346 250317 389382 432054 500634 584073 750951 1168146 1501902 1752219 2252853 3504438 4505706 5256657 10513314 15769971 31539942