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38116848 = 24371110313
BaseRepresentation
bin1001000101100…
…1110111110000
32122201112111010
42101121313300
534224214343
63440550520
7641662560
oct221316760
978645433
1038116848
111a574830
1210922440
137b87663
1450c2da0
15352dd33
hex2459df0

38116848 has 80 divisors (see below), whose sum is σ = 122777856. Its totient is φ = 9899520.

The previous prime is 38116843. The next prime is 38116861. The reversal of 38116848 is 84861183.

38116848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×381168483 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38116843) 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 15 ways as a sum of consecutive naturals, for example, 1461 + ... + 8852.

Almost surely, 238116848 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 38116848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61388928).

38116848 is an abundant number, since it is smaller than the sum of its proper divisors (84661008).

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

38116848 is a wasteful number, since it uses less digits than its factorization.

38116848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342 (or 10336 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 38116848 is about 6173.8843526584. The cubic root of 38116848 is about 336.5417846576.

It can be divided in two parts, 38 and 116848, that added together give a triangular number (116886 = T483).

The spelling of 38116848 in words is "thirty-eight million, one hundred sixteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 10313 20626 30939 41252 61878 72191 82504 113443 123756 144382 165008 216573 226886 247512 288764 340329 433146 453772 495024 577528 680658 794101 866292 907544 1155056 1361316 1588202 1732584 1815088 2382303 2722632 3176404 3465168 4764606 5445264 6352808 9529212 12705616 19058424 38116848