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52594128 = 24321947409
BaseRepresentation
bin1100100010100…
…0010111010000
310122222001120200
43020220113100
5101431003003
65115135200
71206020436
oct310502720
9118861520
1052594128
1127762824
1215744500
13ab860b2
146db0d56
15493d6a3
hex32285d0

52594128 has 120 divisors (see below), whose sum is σ = 158620800. Its totient is φ = 16215552.

The previous prime is 52594121. The next prime is 52594159. The reversal of 52594128 is 82149525.

52594128 is a `hidden beast` number, since 52 + 594 + 12 + 8 = 666.

It is a super-2 number, since 2×525941282 = 5532284600160768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (28800) is a multiple of the sum of its prime divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 52594092 and 52594101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52594121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128388 + ... + 128796.

It is an arithmetic number, because the mean of its divisors is an integer number (1321840).

Almost surely, 252594128 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 52594128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79310400).

52594128 is an abundant number, since it is smaller than the sum of its proper divisors (106026672).

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

52594128 is a wasteful number, since it uses less digits than its factorization.

52594128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 52594128 is about 7252.1809133529. The cubic root of 52594128 is about 374.6672675249.

The spelling of 52594128 in words is "fifty-two million, five hundred ninety-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 47 48 57 72 76 94 114 141 144 152 171 188 228 282 304 342 376 409 423 456 564 684 752 818 846 893 912 1128 1227 1368 1636 1692 1786 2256 2454 2679 2736 3272 3384 3572 3681 4908 5358 6544 6768 7144 7362 7771 8037 9816 10716 14288 14724 15542 16074 19223 19632 21432 23313 29448 31084 32148 38446 42864 46626 57669 58896 62168 64296 69939 76892 93252 115338 124336 128592 139878 153784 173007 186504 230676 279756 307568 346014 365237 373008 461352 559512 692028 730474 922704 1095711 1119024 1384056 1460948 2191422 2768112 2921896 3287133 4382844 5843792 6574266 8765688 13148532 17531376 26297064 52594128