Search a number
-
+
36491364 = 22337134779
BaseRepresentation
bin1000101100110…
…1000001100100
32112122221202000
42023031001210
533320210424
63342045300
7622112550
oct213150144
975587660
1036491364
1119664558
1210279830
137738830
144bbc860
15330c3c9
hex22cd064

36491364 has 192 divisors, whose sum is σ = 120422400. Its totient is φ = 9300096.

The previous prime is 36491341. The next prime is 36491369. The reversal of 36491364 is 46319463.

36491364 is a `hidden beast` number, since 3 + 649 + 1 + 3 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (36491369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461877 + ... + 461955.

It is an arithmetic number, because the mean of its divisors is an integer number (627200).

Almost surely, 236491364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36491364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60211200).

36491364 is an abundant number, since it is smaller than the sum of its proper divisors (83931036).

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

36491364 is a wasteful number, since it uses less digits than its factorization.

36491364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 36491364 is about 6040.8082240707. The cubic root of 36491364 is about 331.6882082701.

The spelling of 36491364 in words is "thirty-six million, four hundred ninety-one thousand, three hundred sixty-four".