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31997916 = 2234611619
BaseRepresentation
bin111101000001…
…1111111011100
32020012122220000
41322003333130
531142413131
63101454300
7535656246
oct172037734
966178800
1031997916
1117075565
12a871390
1368244a2
14436d096
152c20ce6
hex1e83fdc

31997916 has 60 divisors (see below), whose sum is σ = 85072680. Its totient is φ = 10484640.

The previous prime is 31997909. The next prime is 31997963. The reversal of 31997916 is 61979913.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18955 + ... + 20573.

It is an arithmetic number, because the mean of its divisors is an integer number (1417878).

Almost surely, 231997916 is an apocalyptic number.

31997916 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 31997916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42536340).

31997916 is an abundant number, since it is smaller than the sum of its proper divisors (53074764).

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

31997916 is a wasteful number, since it uses less digits than its factorization.

31997916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1685 counting only the distinct ones).

The product of its digits is 91854, while the sum is 45.

The square root of 31997916 is about 5656.6700451768. The cubic root of 31997916 is about 317.4733182778.

The spelling of 31997916 in words is "thirty-one million, nine hundred ninety-seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1619 1647 2196 3238 3294 4857 4941 6476 6588 9714 9882 14571 19428 19764 29142 43713 58284 87426 98759 131139 174852 197518 262278 296277 395036 524556 592554 888831 1185108 1777662 2666493 3555324 5332986 7999479 10665972 15998958 31997916