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52809288 = 23372379173
BaseRepresentation
bin1100100101110…
…0111001001000
310200100222201120
43021130321020
5102004344123
65123515240
71210604640
oct311347110
9120328646
1052809288
112789a444
1215828b20
13ac2cccc
147029520
1549822e3
hex325ce48

52809288 has 128 divisors (see below), whose sum is σ = 160358400. Its totient is φ = 14167296.

The previous prime is 52809277. The next prime is 52809313. The reversal of 52809288 is 88290825.

It is a Cunningham number, because it is equal to 72672-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305170 + ... + 305342.

It is an arithmetic number, because the mean of its divisors is an integer number (1252800).

Almost surely, 252809288 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 52809288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80179200).

52809288 is an abundant number, since it is smaller than the sum of its proper divisors (107549112).

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

52809288 is a wasteful number, since it uses less digits than its factorization.

52809288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 52809288 is about 7266.9999311958. Note that the first 4 decimals coincide. The cubic root of 52809288 is about 375.1774875374.

The spelling of 52809288 in words is "fifty-two million, eight hundred nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 79 84 92 138 158 161 168 173 184 237 276 316 322 346 474 483 519 552 553 632 644 692 948 966 1038 1106 1211 1288 1384 1659 1817 1896 1932 2076 2212 2422 3318 3633 3634 3864 3979 4152 4424 4844 5451 6636 7266 7268 7958 9688 10902 11937 12719 13272 13667 14532 14536 15916 21804 23874 25438 27334 27853 29064 31832 38157 41001 43608 47748 50876 54668 55706 76314 82002 83559 95496 95669 101752 109336 111412 152628 164004 167118 191338 222824 287007 305256 314341 328008 334236 382676 574014 628682 668472 765352 943023 1148028 1257364 1886046 2200387 2296056 2514728 3772092 4400774 6601161 7544184 8801548 13202322 17603096 26404644 52809288