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38115132 = 22311288751
BaseRepresentation
bin1001000101100…
…1011100111100
32122201110010120
42101121130330
534224141012
63440534540
7641654556
oct221313474
978643116
1038115132
111a573510
1210921450
137b86943
1450c24d6
15352d58c
hex245973c

38115132 has 24 divisors (see below), whose sum is σ = 97020672. Its totient is φ = 11550000.

The previous prime is 38115127. The next prime is 38115137. The reversal of 38115132 is 23151183.

38115132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38115127) and next prime (38115137).

It is a super-3 number, since 3×381151323 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38115137) 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 7 ways as a sum of consecutive naturals, for example, 144244 + ... + 144507.

It is an arithmetic number, because the mean of its divisors is an integer number (4042528).

Almost surely, 238115132 is an apocalyptic number.

It is an amenable number.

38115132 is an abundant number, since it is smaller than the sum of its proper divisors (58905540).

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

38115132 is a wasteful number, since it uses less digits than its factorization.

38115132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288769 (or 288767 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 38115132 is about 6173.7453786174. The cubic root of 38115132 is about 336.5367342717.

It can be divided in two parts, 381151 and 32, that added together give a palindrome (381183).

The spelling of 38115132 in words is "thirty-eight million, one hundred fifteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 288751 577502 866253 1155004 1732506 3176261 3465012 6352522 9528783 12705044 19057566 38115132