Search a number
-
+
53202366 = 2337971451
BaseRepresentation
bin1100101011110…
…0110110111110
310201002221221000
43022330312332
5102104433431
65140151130
71214132640
oct312746676
9121087830
1053202366
11280387a8
12159984a6
13b039bb9
1470cc890
154a0d9e6
hex32bcdbe

53202366 has 64 divisors (see below), whose sum is σ = 136604160. Its totient is φ = 15033600.

The previous prime is 53202361. The next prime is 53202371. The reversal of 53202366 is 66320235.

It is an interprime number because it is at equal distance from previous prime (53202361) and next prime (53202371).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53202361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35941 + ... + 37391.

It is an arithmetic number, because the mean of its divisors is an integer number (2134440).

Almost surely, 253202366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53202366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68302080).

53202366 is an abundant number, since it is smaller than the sum of its proper divisors (83401794).

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

53202366 is a wasteful number, since it uses less digits than its factorization.

53202366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 53202366 is about 7293.9952015339. The cubic root of 53202366 is about 376.1060465554.

The spelling of 53202366 in words is "fifty-three million, two hundred two thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 97 126 189 194 291 378 582 679 873 1358 1451 1746 2037 2619 2902 4074 4353 5238 6111 8706 10157 12222 13059 18333 20314 26118 30471 36666 39177 60942 78354 91413 140747 182826 274239 281494 422241 548478 844482 985229 1266723 1970458 2533446 2955687 3800169 5911374 7600338 8867061 17734122 26601183 53202366