Search a number
-
+
36282148 = 22721710889
BaseRepresentation
bin1000101001100…
…1111100100100
32112021022202021
42022121330210
533242012043
63333352524
7620251600
oct212317444
975238667
1036282148
1119531351
1210198744
137694536
144b66500
1532ba3ed
hex2299f24

36282148 has 36 divisors (see below), whose sum is σ = 78211980. Its totient is φ = 14633472.

The previous prime is 36282133. The next prime is 36282149. The reversal of 36282148 is 84128263.

It can be written as a sum of positive squares in 2 ways, for example, as 12545764 + 23736384 = 3542^2 + 4872^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (36282149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2113 + ... + 8776.

It is an arithmetic number, because the mean of its divisors is an integer number (2172555).

Almost surely, 236282148 is an apocalyptic number.

It is an amenable number.

36282148 is an abundant number, since it is smaller than the sum of its proper divisors (41929832).

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

36282148 is a wasteful number, since it uses less digits than its factorization.

36282148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10924 (or 10915 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 36282148 is about 6023.4664438345. The cubic root of 36282148 is about 331.0531034450.

It can be divided in two parts, 3628 and 2148, that added together give a square (5776 = 762).

The spelling of 36282148 in words is "thirty-six million, two hundred eighty-two thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 3332 10889 21778 43556 76223 152446 185113 304892 370226 533561 740452 1067122 1295791 2134244 2591582 5183164 9070537 18141074 36282148