Search a number
-
+
53000112 = 24311100379
BaseRepresentation
bin1100101000101…
…1011110110000
310200201200111010
43022023132300
5102032000422
65131550520
71212331164
oct312133660
9120650433
1053000112
1127a0a850
12158bb440
13ac98b19
147078ca4
1549bdb0c
hex328b7b0

53000112 has 40 divisors (see below), whose sum is σ = 149365440. Its totient is φ = 16060480.

The previous prime is 53000099. The next prime is 53000137. The reversal of 53000112 is 21100035.

53000112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 7 ways as a sum of consecutive naturals, for example, 49662 + ... + 50717.

It is an arithmetic number, because the mean of its divisors is an integer number (3734136).

Almost surely, 253000112 is an apocalyptic number.

It is an amenable number.

53000112 is an abundant number, since it is smaller than the sum of its proper divisors (96365328).

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

53000112 is a wasteful number, since it uses less digits than its factorization.

53000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100401 (or 100395 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 53000112 is about 7280.1175814680. The cubic root of 53000112 is about 375.6288400156.

Adding to 53000112 its reverse (21100035), we get a palindrome (74100147).

The spelling of 53000112 in words is "fifty-three million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 100379 200758 301137 401516 602274 803032 1104169 1204548 1606064 2208338 2409096 3312507 4416676 4818192 6625014 8833352 13250028 17666704 26500056 53000112