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31942116 = 223217194167
BaseRepresentation
bin111100111011…
…0010111100100
32020002211100100
41321312113210
531134121431
63100344100
7535334463
oct171662744
966084310
1031942116
1117037648
12a845030
136804c7b
1443569da
152c0e4e6
hex1e765e4

31942116 has 144 divisors (see below), whose sum is σ = 93562560. Its totient is φ = 9123840.

The previous prime is 31942109. The next prime is 31942117. The reversal of 31942116 is 61124913.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31942116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31942117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476715 + ... + 476781.

It is an arithmetic number, because the mean of its divisors is an integer number (649740).

Almost surely, 231942116 is an apocalyptic number.

31942116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31942116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46781280).

31942116 is an abundant number, since it is smaller than the sum of its proper divisors (61620444).

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

31942116 is a wasteful number, since it uses less digits than its factorization.

31942116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 31942116 is about 5651.7356626084. The cubic root of 31942116 is about 317.2886675163.

The spelling of 31942116 in words is "thirty-one million, nine hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 41 51 57 67 68 76 82 102 114 123 134 153 164 171 201 204 228 246 268 306 323 342 369 402 492 603 612 646 684 697 738 779 804 969 1139 1206 1273 1292 1394 1476 1558 1938 2091 2278 2337 2412 2546 2747 2788 2907 3116 3417 3819 3876 4182 4556 4674 5092 5494 5814 6273 6834 7011 7638 8241 8364 9348 10251 10988 11457 11628 12546 13243 13668 14022 15276 16482 20502 21641 22914 24723 25092 26486 28044 32964 39729 41004 43282 45828 46699 49446 52193 52972 64923 79458 86564 93398 98892 104386 119187 129846 140097 156579 158916 186796 194769 208772 238374 259692 280194 313158 389538 420291 469737 476748 560388 626316 779076 840582 887281 939474 1681164 1774562 1878948 2661843 3549124 5323686 7985529 10647372 15971058 31942116