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31939038 = 23219471987
BaseRepresentation
bin111100111010…
…1100111011110
32020002200010100
41321311213132
531134022123
63100321530
7535322505
oct171654736
966080110
1031939038
11170352aa
12a8432a6
136803751
14435583c
152c0d643
hex1e759de

31939038 has 48 divisors (see below), whose sum is σ = 74430720. Its totient is φ = 9866448.

The previous prime is 31939031. The next prime is 31939049. The reversal of 31939038 is 83093913.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31938993 and 31939011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31939031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15081 + ... + 17067.

It is an arithmetic number, because the mean of its divisors is an integer number (1550640).

Almost surely, 231939038 is an apocalyptic number.

31939038 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31939038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37215360).

31939038 is an abundant number, since it is smaller than the sum of its proper divisors (42491682).

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

31939038 is a wasteful number, since it uses less digits than its factorization.

31939038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 31939038 is about 5651.4633503191. The cubic root of 31939038 is about 317.2784756858.

The spelling of 31939038 in words is "thirty-one million, nine hundred thirty-nine thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 1786 1987 2679 3974 5358 5961 8037 11922 16074 17883 35766 37753 75506 93389 113259 186778 226518 280167 339777 560334 679554 840501 1681002 1774391 3548782 5323173 10646346 15969519 31939038