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38138232 = 23311223571
BaseRepresentation
bin1001000101111…
…1000101111000
32122202121211010
42101133011320
534230410412
63441233520
7642112116
oct221370570
978677733
1038138232
111a589900
12109328a0
137b94302
1450caab6
15353533c
hex245f178

38138232 has 96 divisors (see below), whose sum is σ = 109549440. Its totient is φ = 11035200.

The previous prime is 38138213. The next prime is 38138239. The reversal of 38138232 is 23283183.

38138232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38138232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38138239) 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 23 ways as a sum of consecutive naturals, for example, 66507 + ... + 67077.

It is an arithmetic number, because the mean of its divisors is an integer number (1141140).

Almost surely, 238138232 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 38138232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54774720).

38138232 is an abundant number, since it is smaller than the sum of its proper divisors (71411208).

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

38138232 is a wasteful number, since it uses less digits than its factorization.

38138232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 610 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 38138232 is about 6175.6159206997. The cubic root of 38138232 is about 336.6047075253.

The spelling of 38138232 in words is "thirty-eight million, one hundred thirty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 121 132 138 184 242 253 264 276 363 484 506 552 571 726 759 968 1012 1142 1452 1518 1713 2024 2284 2783 2904 3036 3426 4568 5566 6072 6281 6852 8349 11132 12562 13133 13704 16698 18843 22264 25124 26266 33396 37686 39399 50248 52532 66792 69091 75372 78798 105064 138182 144463 150744 157596 207273 276364 288926 315192 414546 433389 552728 577852 829092 866778 1155704 1589093 1658184 1733556 3178186 3467112 4767279 6356372 9534558 12712744 19069116 38138232