[go: up one dir, main page]

Search a number
-
+
5036112 = 243241853
BaseRepresentation
bin10011001101100001010000
3100110212020200
4103031201100
52242123422
6255535200
760543354
oct23154120
910425220
105036112
11292a784
12182a500
131074363
14951464
156972ac
hex4cd850

5036112 has 60 divisors (see below), whose sum is σ = 14454804. Its totient is φ = 1635840.

The previous prime is 5036081. The next prime is 5036147. The reversal of 5036112 is 2116305.

5036112 is a `hidden beast` number, since 50 + 3 + 611 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 4769856 = 516^2 + 2184^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 5478 + ... + 6330.

Almost surely, 25036112 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 5036112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227402).

5036112 is an abundant number, since it is smaller than the sum of its proper divisors (9418692).

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

5036112 is a wasteful number, since it uses less digits than its factorization.

5036112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5036112 is about 2244.1283385760. The cubic root of 5036112 is about 171.4082785503.

The spelling of 5036112 in words is "five million, thirty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 853 984 1476 1706 1968 2559 2952 3412 5118 5904 6824 7677 10236 13648 15354 20472 30708 34973 40944 61416 69946 104919 122832 139892 209838 279784 314757 419676 559568 629514 839352 1259028 1678704 2518056 5036112