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5050368 = 21232137
BaseRepresentation
bin10011010001000000000000
3100111120210200
4103101000000
52243102433
6300125200
760633051
oct23210000
910446720
105050368
11293a464
121836800
13107a9ab
14956728
1569b613
hex4d1000

5050368 has 78 divisors (see below), whose sum is σ = 14694654. Its totient is φ = 1671168.

The previous prime is 5050361. The next prime is 5050369. The reversal of 5050368 is 8630505.

It can be written as a sum of positive squares in only one way, i.e., 4460544 + 589824 = 2112^2 + 768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5050361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36796 + ... + 36932.

It is an arithmetic number, because the mean of its divisors is an integer number (188393).

Almost surely, 25050368 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 5050368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7347327).

5050368 is an abundant number, since it is smaller than the sum of its proper divisors (9644286).

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

5050368 is a wasteful number, since it uses less digits than its factorization.

5050368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5050368 is about 2247.3023828582. The cubic root of 5050368 is about 171.5698644653.

The spelling of 5050368 in words is "five million, fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 512 548 576 768 822 1024 1096 1152 1233 1536 1644 2048 2192 2304 2466 3072 3288 4096 4384 4608 4932 6144 6576 8768 9216 9864 12288 13152 17536 18432 19728 26304 35072 36864 39456 52608 70144 78912 105216 140288 157824 210432 280576 315648 420864 561152 631296 841728 1262592 1683456 2525184 5050368