Search a number
-
+
38895552 = 26354161
BaseRepresentation
bin1001010001011…
…1111111000000
32201012002200000
42110113333000
534424124202
63505400000
7651415053
oct224277700
981162600
1038895552
111aa56893
1211039000
13809ac27
145246a9a
15363491c
hex2517fc0

38895552 has 168 divisors, whose sum is σ = 120377712. Its totient is φ = 12441600.

The previous prime is 38895551. The next prime is 38895557. The reversal of 38895552 is 25559883.

38895552 is a `hidden beast` number, since 3 + 8 + 8 + 95 + 552 = 666.

38895552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38895498 and 38895507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38895551) 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, 637602 + ... + 637662.

It is an arithmetic number, because the mean of its divisors is an integer number (716534).

Almost surely, 238895552 is an apocalyptic number.

38895552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38895552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60188856).

38895552 is an abundant number, since it is smaller than the sum of its proper divisors (81482160).

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

38895552 is an equidigital number, since it uses as much as digits as its factorization.

38895552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 38895552 is about 6236.6298591467. The cubic root of 38895552 is about 338.8181341053.

The spelling of 38895552 in words is "thirty-eight million, eight hundred ninety-five thousand, five hundred fifty-two".