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31807944 = 23337109193
BaseRepresentation
bin111100101010…
…1100111001000
32012212000022000
41321111213020
531120323234
63053431000
7534235350
oct171254710
965760260
1031807944
1116a55863
12a79b460
136788b8c
14431db60
152bd4899
hex1e559c8

31807944 has 128 divisors (see below), whose sum is σ = 102432000. Its totient is φ = 8957952.

The previous prime is 31807943. The next prime is 31807991. The reversal of 31807944 is 44970813.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31807899 and 31807908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31807943) 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 31 ways as a sum of consecutive naturals, for example, 164712 + ... + 164904.

It is an arithmetic number, because the mean of its divisors is an integer number (800250).

Almost surely, 231807944 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 31807944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51216000).

31807944 is an abundant number, since it is smaller than the sum of its proper divisors (70624056).

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

31807944 is a wasteful number, since it uses less digits than its factorization.

31807944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 31807944 is about 5639.8531895786. The cubic root of 31807944 is about 316.8437898605.

The spelling of 31807944 in words is "thirty-one million, eight hundred seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 109 126 168 189 193 216 218 252 327 378 386 436 504 579 654 756 763 772 872 981 1158 1308 1351 1512 1526 1544 1737 1962 2289 2316 2616 2702 2943 3052 3474 3924 4053 4578 4632 5211 5404 5886 6104 6867 6948 7848 8106 9156 10422 10808 11772 12159 13734 13896 16212 18312 20601 20844 21037 23544 24318 27468 32424 36477 41202 41688 42074 48636 54936 63111 72954 82404 84148 97272 126222 145908 147259 164808 168296 189333 252444 291816 294518 378666 441777 504888 567999 589036 757332 883554 1135998 1178072 1325331 1514664 1767108 2271996 2650662 3534216 3975993 4543992 5301324 7951986 10602648 15903972 31807944