Search a number
-
+
38756032 = 26786509
BaseRepresentation
bin1001001111010…
…1111011000000
32200221000021121
42103311323000
534410143112
63502402024
7650264230
oct223657300
980830247
1038756032
111a970a87
1210b90314
13804c583
14520bcc0
153608407
hex24f5ec0

38756032 has 28 divisors (see below), whose sum is σ = 87894160. Its totient is φ = 16609536.

The previous prime is 38756027. The next prime is 38756033. The reversal of 38756032 is 23065783.

38756032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is not an unprimeable number, because it can be changed into a prime (38756033) 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 3 ways as a sum of consecutive naturals, for example, 42807 + ... + 43702.

Almost surely, 238756032 is an apocalyptic number.

38756032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38756032 is an abundant number, since it is smaller than the sum of its proper divisors (49138128).

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

38756032 is an equidigital number, since it uses as much as digits as its factorization.

38756032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86528 (or 86518 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 38756032 is about 6225.4342820401. The cubic root of 38756032 is about 338.4125303909.

The spelling of 38756032 in words is "thirty-eight million, seven hundred fifty-six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 86509 173018 346036 605563 692072 1211126 1384144 2422252 2768288 4844504 5536576 9689008 19378016 38756032