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36089872 = 2472133541
BaseRepresentation
bin1000100110101…
…1000000010000
32111220112222221
42021223000100
533214333442
63325310424
7615521200
oct211530020
974815887
1036089872
111940a945
1210105414
137627b70
144b16400
15327d467
hex226b010

36089872 has 60 divisors (see below), whose sum is σ = 87621996. Its totient is φ = 14273280.

The previous prime is 36089863. The next prime is 36089897. The reversal of 36089872 is 27898063.

It can be written as a sum of positive squares in 2 ways, for example, as 9834496 + 26255376 = 3136^2 + 5124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8422 + ... + 11962.

Almost surely, 236089872 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 36089872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43810998).

36089872 is an abundant number, since it is smaller than the sum of its proper divisors (51532124).

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

36089872 is a wasteful number, since it uses less digits than its factorization.

36089872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 36089872 is about 6007.4846649825. The cubic root of 36089872 is about 330.4672658219.

The spelling of 36089872 in words is "thirty-six million, eighty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 3541 5096 7082 10192 14164 24787 28328 46033 49574 56656 92066 99148 173509 184132 198296 322231 347018 368264 396592 644462 694036 736528 1288924 1388072 2255617 2577848 2776144 4511234 5155696 9022468 18044936 36089872