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36494136 = 233271937103
BaseRepresentation
bin1000101100110…
…1101100111000
32112200002112200
42023031230320
533320303021
63342110200
7622123620
oct213155470
975602480
1036494136
1119666648
121027b360
137739b83
144bbd880
15330d126
hex22cdb38

36494136 has 192 divisors, whose sum is σ = 123302400. Its totient is φ = 9517824.

The previous prime is 36494119. The next prime is 36494147. The reversal of 36494136 is 63149463.

36494136 is a `hidden beast` number, since 3 + 649 + 4 + 1 + 3 + 6 = 666.

36494136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 a self number, because there is not a number n which added to its sum of digits gives 36494136.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 354261 + ... + 354363.

It is an arithmetic number, because the mean of its divisors is an integer number (642200).

Almost surely, 236494136 is an apocalyptic number.

36494136 is a gapful number since it is divisible by the number (36) 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 36494136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61651200).

36494136 is an abundant number, since it is smaller than the sum of its proper divisors (86808264).

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

36494136 is a wasteful number, since it uses less digits than its factorization.

36494136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 171 counting only the distinct ones).

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

The square root of 36494136 is about 6041.0376592105. The cubic root of 36494136 is about 331.6966067543.

The spelling of 36494136 in words is "thirty-six million, four hundred ninety-four thousand, one hundred thirty-six".