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52860384 = 2533193317
BaseRepresentation
bin1100100110100…
…1010111100000
310200110120211000
43021221113200
5102013013014
65124552000
71211206623
oct311512740
9120416730
1052860384
1127924875
1215852600
13ac4a345
14703ddba
154992509
hex32695e0

52860384 has 96 divisors (see below), whose sum is σ = 155463840. Its totient is φ = 17473536.

The previous prime is 52860341. The next prime is 52860389. The reversal of 52860384 is 48306825.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52860389) 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, 166594 + ... + 166910.

It is an arithmetic number, because the mean of its divisors is an integer number (1619415).

Almost surely, 252860384 is an apocalyptic number.

52860384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52860384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77731920).

52860384 is an abundant number, since it is smaller than the sum of its proper divisors (102603456).

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

52860384 is a wasteful number, since it uses less digits than its factorization.

52860384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 52860384 is about 7270.5146997995. The cubic root of 52860384 is about 375.2984504099.

The spelling of 52860384 in words is "fifty-two million, eight hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 193 216 288 317 386 432 579 634 772 864 951 1158 1268 1544 1737 1902 2316 2536 2853 3088 3474 3804 4632 5072 5211 5706 6176 6948 7608 8559 9264 10144 10422 11412 13896 15216 17118 18528 20844 22824 27792 30432 34236 41688 45648 55584 61181 68472 83376 91296 122362 136944 166752 183543 244724 273888 367086 489448 550629 734172 978896 1101258 1468344 1651887 1957792 2202516 2936688 3303774 4405032 5873376 6607548 8810064 13215096 17620128 26430192 52860384