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36485136 = 2432253369
BaseRepresentation
bin1000101100101…
…1100000010000
32112122122012100
42023023200100
533320011021
63342000400
7622055442
oct213134020
975578170
1036485136
111965a906
1210276100
137735a4c
144bba492
15330a626
hex22cb810

36485136 has 30 divisors (see below), whose sum is σ = 102108110. Its totient is φ = 12161664.

The previous prime is 36485131. The next prime is 36485143. The reversal of 36485136 is 63158463.

36485136 is a `hidden beast` number, since 3 + 648 + 5 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22467600 + 14017536 = 4740^2 + 3744^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 36485136.

It is not an unprimeable number, because it can be changed into a prime (36485131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126541 + ... + 126828.

Almost surely, 236485136 is an apocalyptic number.

36485136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36485136 is an abundant number, since it is smaller than the sum of its proper divisors (65622974).

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

36485136 is a wasteful number, since it uses less digits than its factorization.

36485136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253383 (or 253374 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 36485136 is about 6040.2927081392. The cubic root of 36485136 is about 331.6693373970.

Subtracting from 36485136 its product of digits (51840), we obtain a square (36433296 = 60362).

The spelling of 36485136 in words is "thirty-six million, four hundred eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 253369 506738 760107 1013476 1520214 2026952 2280321 3040428 4053904 4560642 6080856 9121284 12161712 18242568 36485136