Search a number
-
+
50342418 = 2337971373
BaseRepresentation
bin1100000000001…
…0101000010010
310111201122211000
43000002220102
5100341424133
64555002430
71150621620
oct300025022
9114648730
1050342418
1126465005
1214a39416
13a578219
146986510
154646413
hex3002a12

50342418 has 64 divisors (see below), whose sum is σ = 129265920. Its totient is φ = 14224896.

The previous prime is 50342407. The next prime is 50342429. The reversal of 50342418 is 81424305.

It is an interprime number because it is at equal distance from previous prime (50342407) and next prime (50342429).

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

It is a junction number, because it is equal to n+sod(n) for n = 50342391 and 50342400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35980 + ... + 37352.

It is an arithmetic number, because the mean of its divisors is an integer number (2019780).

Almost surely, 250342418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50342418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64632960).

50342418 is an abundant number, since it is smaller than the sum of its proper divisors (78923502).

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

50342418 is a wasteful number, since it uses less digits than its factorization.

50342418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1482 counting only the distinct ones).

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

The square root of 50342418 is about 7095.2391080217. The cubic root of 50342418 is about 369.2422231423.

The spelling of 50342418 in words is "fifty million, three hundred forty-two thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 97 126 189 194 291 378 582 679 873 1358 1373 1746 2037 2619 2746 4074 4119 5238 6111 8238 9611 12222 12357 18333 19222 24714 28833 36666 37071 57666 74142 86499 133181 172998 259497 266362 399543 518994 799086 932267 1198629 1864534 2397258 2796801 3595887 5593602 7191774 8390403 16780806 25171209 50342418