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38116936 = 23112132233
BaseRepresentation
bin1001000101100…
…1111001001000
32122201112121101
42101121321020
534224220221
63440551144
7641663044
oct221317110
978645541
1038116936
111a574900
12109224b4
137b87700
1450c3024
15352dd91
hex2459e48

38116936 has 72 divisors (see below), whose sum is σ = 85429890. Its totient is φ = 15924480.

The previous prime is 38116927. The next prime is 38116937. The reversal of 38116936 is 63961183.

It can be written as a sum of positive squares in 3 ways, for example, as 13176900 + 24940036 = 3630^2 + 4994^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38116895 and 38116904.

It is not an unprimeable number, because it can be changed into a prime (38116937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 163476 + ... + 163708.

Almost surely, 238116936 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 38116936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42714945).

38116936 is an abundant number, since it is smaller than the sum of its proper divisors (47312954).

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

38116936 is a wasteful number, since it uses less digits than its factorization.

38116936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 259 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 38116936 is about 6173.8914794480. The cubic root of 38116936 is about 336.5420436476.

The spelling of 38116936 in words is "thirty-eight million, one hundred sixteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 169 233 242 286 338 466 484 572 676 932 968 1144 1352 1573 1859 1864 2563 3029 3146 3718 5126 6058 6292 7436 10252 12116 12584 14872 20449 20504 24232 28193 33319 39377 40898 56386 66638 78754 81796 112772 133276 157508 163592 225544 266552 315016 366509 433147 733018 866294 1466036 1732588 2932072 3465176 4764617 9529234 19058468 38116936