Search a number
-
+
50958336 = 2123111329
BaseRepresentation
bin1100001001100…
…1000000000000
310112212221200210
43002121000000
5101021131321
65020114120
71156065402
oct302310000
9115787623
1050958336
1126845830
1215095940
13a732680
146aa6b72
154718b76
hex3099000

50958336 has 208 divisors, whose sum is σ = 165130560. Its totient is φ = 13762560.

The previous prime is 50958329. The next prime is 50958337. The reversal of 50958336 is 63385905.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 50958294 and 50958303.

It is not an unprimeable number, because it can be changed into a prime (50958337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1757170 + ... + 1757198.

Almost surely, 250958336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50958336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82565280).

50958336 is an abundant number, since it is smaller than the sum of its proper divisors (114172224).

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

50958336 is a wasteful number, since it uses less digits than its factorization.

50958336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 50958336 is about 7138.5107690610. The cubic root of 50958336 is about 370.7419637817.

It can be divided in two parts, 5095 and 8336, that added together give a palindrome (13431).

The spelling of 50958336 in words is "fifty million, nine hundred fifty-eight thousand, three hundred thirty-six".