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52334160 = 243517101127
BaseRepresentation
bin1100011110100…
…0111001010000
310122110211222020
43013220321100
5101344143120
65105411440
71203555504
oct307507120
9118424866
1052334160
11275a547a
1215639b80
13aac4978
146d44304
1548db640
hex31e8e50

52334160 has 160 divisors (see below), whose sum is σ = 174845952. Its totient is φ = 12902400.

The previous prime is 52334123. The next prime is 52334167. The reversal of 52334160 is 6143325.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 52334160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52334167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412017 + ... + 412143.

Almost surely, 252334160 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 52334160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87422976).

52334160 is an abundant number, since it is smaller than the sum of its proper divisors (122511792).

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

52334160 is a wasteful number, since it uses less digits than its factorization.

52334160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 52334160 is about 7234.2352740286. The cubic root of 52334160 is about 374.0489321814.

Adding to 52334160 its reverse (6143325), we get a palindrome (58477485).

The spelling of 52334160 in words is "fifty-two million, three hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 101 102 120 127 136 170 202 204 240 254 255 272 303 340 381 404 408 505 508 510 606 635 680 762 808 816 1010 1016 1020 1212 1270 1360 1515 1524 1616 1717 1905 2020 2032 2040 2159 2424 2540 3030 3048 3434 3810 4040 4080 4318 4848 5080 5151 6060 6096 6477 6868 7620 8080 8585 8636 10160 10302 10795 12120 12827 12954 13736 15240 17170 17272 20604 21590 24240 25654 25755 25908 27472 30480 32385 34340 34544 38481 41208 43180 51308 51510 51816 64135 64770 68680 76962 82416 86360 102616 103020 103632 128270 129540 137360 153924 172720 192405 205232 206040 218059 256540 259080 307848 384810 412080 436118 513080 518160 615696 654177 769620 872236 1026160 1090295 1308354 1539240 1744472 2180590 2616708 3078480 3270885 3488944 4361180 5233416 6541770 8722360 10466832 13083540 17444720 26167080 52334160