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50608116 = 223213176361
BaseRepresentation
bin1100000100001…
…1011111110100
310112020011021200
43001003133310
5100423424431
65004412500
71153106346
oct301033764
9115204250
1050608116
1126626699
1214b47130
13a63c140
146a15296
154699ee6
hex30437f4

50608116 has 72 divisors (see below), whose sum is σ = 145893384. Its totient is φ = 14653440.

The previous prime is 50608091. The next prime is 50608121. The reversal of 50608116 is 61180605.

50608116 is a `hidden beast` number, since 50 + 608 + 1 + 1 + 6 = 666.

50608116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2250000 + 48358116 = 1500^2 + 6954^2 .

It is a super-2 number, since 2×506081162 = 5122362810138912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 50608116.

It is a congruent number.

It is an unprimeable 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, 4776 + ... + 11136.

It is an arithmetic number, because the mean of its divisors is an integer number (2026297).

Almost surely, 250608116 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 50608116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72946692).

50608116 is an abundant number, since it is smaller than the sum of its proper divisors (95285268).

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

50608116 is a wasteful number, since it uses less digits than its factorization.

50608116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 50608116 is about 7113.9381498576. The cubic root of 50608116 is about 369.8906811203.

The spelling of 50608116 in words is "fifty million, six hundred eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 6361 7956 12722 19083 25444 38166 57249 76332 82693 108137 114498 165386 216274 228996 248079 324411 330772 432548 496158 648822 744237 973233 992316 1297644 1405781 1488474 1946466 2811562 2976948 3892932 4217343 5623124 8434686 12652029 16869372 25304058 50608116