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52966656 = 28337997
BaseRepresentation
bin1100101000001…
…1010100000000
310200122222121000
43022003110000
5102024413111
65131132000
71212131511
oct312032400
9120588530
1052966656
11279976a6
12158a4000
13ac86822
14706aa08
1549b3c56
hex3283500

52966656 has 144 divisors (see below), whose sum is σ = 160249600. Its totient is φ = 17252352.

The previous prime is 52966651. The next prime is 52966703. The reversal of 52966656 is 65666925.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52966651) 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, 546000 + ... + 546096.

Almost surely, 252966656 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 52966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80124800).

52966656 is an abundant number, since it is smaller than the sum of its proper divisors (107282944).

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

52966656 is an equidigital number, since it uses as much as digits as its factorization.

52966656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 52966656 is about 7277.8194536551. The cubic root of 52966656 is about 375.5497855683.

The spelling of 52966656 in words is "fifty-two million, nine hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 97 108 128 144 158 192 194 216 237 256 288 291 316 384 388 432 474 576 582 632 711 768 776 864 873 948 1152 1164 1264 1422 1552 1728 1746 1896 2133 2304 2328 2528 2619 2844 3104 3456 3492 3792 4266 4656 5056 5238 5688 6208 6912 6984 7584 7663 8532 9312 10112 10476 11376 12416 13968 15168 15326 17064 18624 20224 20952 22752 22989 24832 27936 30336 30652 34128 37248 41904 45504 45978 55872 60672 61304 68256 68967 74496 83808 91008 91956 111744 122608 136512 137934 167616 182016 183912 206901 223488 245216 273024 275868 335232 367824 413802 490432 546048 551736 670464 735648 827604 980864 1103472 1471296 1655208 1961728 2206944 2942592 3310416 4413888 5885184 6620832 8827776 13241664 17655552 26483328 52966656