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5050656 = 2532131971
BaseRepresentation
bin10011010001000100100000
3100111121012100
4103101010200
52243110111
6300130400
760633642
oct23210440
910447170
105050656
11293a6a6
121836a00
13107ab70
14956892
1569b756
hex4d1120

5050656 has 144 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1451520.

The previous prime is 5050631. The next prime is 5050657. The reversal of 5050656 is 6560505.

5050656 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (5050657) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 71101 + ... + 71171.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 25050656 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 5050656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

5050656 is an abundant number, since it is smaller than the sum of its proper divisors (11460384).

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

5050656 is a wasteful number, since it uses less digits than its factorization.

5050656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5050656 is about 2247.3664587690. The cubic root of 5050656 is about 171.5731256918.

The spelling of 5050656 in words is "five million, fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 71 72 76 78 96 104 114 117 142 144 152 156 171 208 213 228 234 247 284 288 304 312 342 416 426 456 468 494 568 608 624 639 684 741 852 912 923 936 988 1136 1248 1278 1349 1368 1482 1704 1824 1846 1872 1976 2223 2272 2556 2698 2736 2769 2964 3408 3692 3744 3952 4047 4446 5112 5396 5472 5538 5928 6816 7384 7904 8094 8307 8892 10224 10792 11076 11856 12141 14768 16188 16614 17537 17784 20448 21584 22152 23712 24282 29536 32376 33228 35074 35568 43168 44304 48564 52611 64752 66456 70148 71136 88608 97128 105222 129504 132912 140296 157833 194256 210444 265824 280592 315666 388512 420888 561184 631332 841776 1262664 1683552 2525328 5050656