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52811352 = 23341131239
BaseRepresentation
bin1100100101110…
…1011001011000
310200101002120000
43021131121120
5102004430402
65123533000
71210613646
oct311353130
9120332500
1052811352
11278a0a50
121582a160
13ac30c29
14702a196
154982c1c
hex325d658

52811352 has 160 divisors (see below), whose sum is σ = 167270400. Its totient is φ = 15422400.

The previous prime is 52811351. The next prime is 52811357. The reversal of 52811352 is 25311825.

It is a happy number.

52811352 is a `hidden beast` number, since 528 + 1 + 135 + 2 = 666.

52811352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52811351) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 220849 + ... + 221087.

It is an arithmetic number, because the mean of its divisors is an integer number (1045440).

Almost surely, 252811352 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 52811352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83635200).

52811352 is an abundant number, since it is smaller than the sum of its proper divisors (114459048).

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

52811352 is a wasteful number, since it uses less digits than its factorization.

52811352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 52811352 is about 7267.1419416439. The cubic root of 52811352 is about 375.1823752903.

The spelling of 52811352 in words is "fifty-two million, eight hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 81 88 93 99 108 124 132 162 186 198 216 239 248 264 279 297 324 341 372 396 478 558 594 648 682 717 744 792 837 891 956 1023 1116 1188 1364 1434 1674 1782 1912 2046 2151 2232 2376 2511 2629 2728 2868 3069 3348 3564 4092 4302 5022 5258 5736 6138 6453 6696 7128 7409 7887 8184 8604 9207 10044 10516 12276 12906 14818 15774 17208 18414 19359 20088 21032 22227 23661 24552 25812 27621 29636 31548 36828 38718 44454 47322 51624 55242 59272 63096 66681 70983 73656 77436 81499 88908 94644 110484 133362 141966 154872 162998 177816 189288 200043 212949 220968 244497 266724 283932 325996 400086 425898 488994 533448 567864 600129 651992 733491 800172 851796 977988 1200258 1466982 1600344 1703592 1955976 2200473 2400516 2933964 4400946 4801032 5867928 6601419 8801892 13202838 17603784 26405676 52811352