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39968838 = 23271321877
BaseRepresentation
bin1001100001111…
…0000001000110
32210012121221100
42120132001012
540213000323
63544400530
7663505140
oct230360106
983177840
1039968838
112061a1a8
1211476146
138385600
145445c90
153797943
hex261e046

39968838 has 72 divisors (see below), whose sum is σ = 107226288. Its totient is φ = 10535616.

The previous prime is 39968833. The next prime is 39968839. The reversal of 39968838 is 83886993.

It is a super-2 number, since 2×399688382 = 3195016022140488, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39968833) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20356 + ... + 22232.

It is an arithmetic number, because the mean of its divisors is an integer number (1489254).

Almost surely, 239968838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39968838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53613144).

39968838 is an abundant number, since it is smaller than the sum of its proper divisors (67257450).

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

39968838 is a wasteful number, since it uses less digits than its factorization.

39968838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1902 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 39968838 is about 6322.0912679271. The cubic root of 39968838 is about 341.9063558120.

The spelling of 39968838 in words is "thirty-nine million, nine hundred sixty-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 1877 2366 3042 3549 3754 5631 7098 10647 11262 13139 16893 21294 24401 26278 33786 39417 48802 73203 78834 118251 146406 170807 219609 236502 317213 341614 439218 512421 634426 951639 1024842 1537263 1903278 2220491 2854917 3074526 4440982 5709834 6661473 13322946 19984419 39968838