Search a number
-
+
502398 = 2321319113
BaseRepresentation
bin1111010101001111110
3221112011100
41322221332
5112034043
614433530
74161501
oct1725176
9845140
10502398
11313506
122028a6
131478a0
14d1138
159dcd3
hex7aa7e

502398 has 48 divisors (see below), whose sum is σ = 1244880. Its totient is φ = 145152.

The previous prime is 502393. The next prime is 502409. The reversal of 502398 is 893205.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502393) by changing a digit.

502398 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 4390 + ... + 4502.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2502398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 502398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622440).

502398 is an abundant number, since it is smaller than the sum of its proper divisors (742482).

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

502398 is a wasteful number, since it uses less digits than its factorization.

502398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 502398 is about 708.8003950337. The cubic root of 502398 is about 79.4967365458.

It can be divided in two parts, 502 and 398, that added together give a square (900 = 302).

The spelling of 502398 in words is "five hundred two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 113 114 117 171 226 234 247 339 342 494 678 741 1017 1469 1482 2034 2147 2223 2938 4294 4407 4446 6441 8814 12882 13221 19323 26442 27911 38646 55822 83733 167466 251199 502398