Search a number
-
+
38111136 = 253756713
BaseRepresentation
bin1001000101100…
…0011110100000
32122201020122120
42101120132200
534224024021
63440504240
7641640120
oct221303640
978636576
1038111136
111a570508
121091b080
137b84b8b
1450c0c80
15352c2c6
hex24587a0

38111136 has 48 divisors (see below), whose sum is σ = 114335424. Its totient is φ = 10888704.

The previous prime is 38111119. The next prime is 38111137. The reversal of 38111136 is 63111183.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (38111137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27685 + ... + 29028.

It is an arithmetic number, because the mean of its divisors is an integer number (2381988).

Almost surely, 238111136 is an apocalyptic number.

It is an amenable number.

38111136 is an abundant number, since it is smaller than the sum of its proper divisors (76224288).

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

38111136 is a wasteful number, since it uses less digits than its factorization.

38111136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56733 (or 56725 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 38111136 is about 6173.4217416276. The cubic root of 38111136 is about 336.5249729955.

The spelling of 38111136 in words is "thirty-eight million, one hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 56713 113426 170139 226852 340278 396991 453704 680556 793982 907408 1190973 1361112 1587964 1814816 2381946 2722224 3175928 4763892 5444448 6351856 9527784 12703712 19055568 38111136