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52814560 = 255418397
BaseRepresentation
bin1100100101111…
…0001011100000
310200101020221211
43021132023200
5102010031220
65123555504
71210626211
oct311361340
9120336854
1052814560
11278a33a7
121582bb94
13ac32526
14702b408
154983b5a
hex325e2e0

52814560 has 96 divisors (see below), whose sum is σ = 130691232. Its totient is φ = 20152320.

The previous prime is 52814549. The next prime is 52814569. The reversal of 52814560 is 6541825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52814569) 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, 544432 + ... + 544528.

It is an arithmetic number, because the mean of its divisors is an integer number (1361367).

Almost surely, 252814560 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 52814560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65345616).

52814560 is an abundant number, since it is smaller than the sum of its proper divisors (77876672).

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

52814560 is a wasteful number, since it uses less digits than its factorization.

52814560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 52814560 is about 7267.3626578010. The cubic root of 52814560 is about 375.1899718937.

The spelling of 52814560 in words is "fifty-two million, eight hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 83 97 160 164 166 194 205 328 332 388 410 415 485 656 664 776 820 830 970 1312 1328 1552 1640 1660 1940 2656 3104 3280 3320 3403 3880 3977 6560 6640 6806 7760 7954 8051 13280 13612 15520 15908 16102 17015 19885 27224 31816 32204 34030 39770 40255 54448 63632 64408 68060 79540 80510 108896 127264 128816 136120 159080 161020 257632 272240 318160 322040 330091 544480 636320 644080 660182 1288160 1320364 1650455 2640728 3300910 5281456 6601820 10562912 13203640 26407280 52814560