Search a number
-
+
52384104 = 2333242519
BaseRepresentation
bin1100011111010…
…1000101101000
310122120101111000
43013311011220
5101402242404
65110435000
71204154223
oct307650550
9118511430
1052384104
1127629a53
1215662a60
13ab11616
146d585ba
1548eb339
hex31f5168

52384104 has 32 divisors (see below), whose sum is σ = 145512000. Its totient is φ = 17461296.

The previous prime is 52384103. The next prime is 52384117. The reversal of 52384104 is 40148325.

52384104 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 (27).

It is not an unprimeable number, because it can be changed into a prime (52384103) by changing a digit.

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, 121044 + ... + 121475.

It is an arithmetic number, because the mean of its divisors is an integer number (4547250).

Almost surely, 252384104 is an apocalyptic number.

52384104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

52384104 is an abundant number, since it is smaller than the sum of its proper divisors (93127896).

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

52384104 is a wasteful number, since it uses less digits than its factorization.

52384104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242534 (or 242524 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 52384104 is about 7237.6863706574. The cubic root of 52384104 is about 374.1678829155.

The spelling of 52384104 in words is "fifty-two million, three hundred eighty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 242519 485038 727557 970076 1455114 1940152 2182671 2910228 4365342 5820456 6548013 8730684 13096026 17461368 26192052 52384104