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36424164 = 22371992179
BaseRepresentation
bin1000101011110…
…0100111100100
32112112112120010
42022330213210
533311033124
63340410220
7621412620
oct212744744
975475503
1036424164
1119619017
1210246970
13771407a
144ba2180
1532e7529
hex22bc9e4

36424164 has 48 divisors (see below), whose sum is σ = 97664000. Its totient is φ = 10349856.

The previous prime is 36424147. The next prime is 36424187. The reversal of 36424164 is 46142463.

36424164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15627 + ... + 17805.

Almost surely, 236424164 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 36424164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48832000).

36424164 is an abundant number, since it is smaller than the sum of its proper divisors (61239836).

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

36424164 is a wasteful number, since it uses less digits than its factorization.

36424164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2390 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 36424164 is about 6035.2434913597. The cubic root of 36424164 is about 331.4844783880.

The spelling of 36424164 in words is "thirty-six million, four hundred twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 597 796 1194 1393 2179 2388 2786 4179 4358 5572 6537 8358 8716 13074 15253 16716 26148 30506 45759 61012 91518 183036 433621 867242 1300863 1734484 2601726 3035347 5203452 6070694 9106041 12141388 18212082 36424164