Search a number
-
+
52860768 = 2531992767
BaseRepresentation
bin1100100110100…
…1011101100000
310200110121100020
43021221131200
5102013021033
65124553440
71211211012
oct311513540
9120417306
1052860768
1127925094
1215852880
13ac4a57c
1470401b2
1549926b3
hex3269760

52860768 has 48 divisors (see below), whose sum is σ = 139507200. Its totient is φ = 17525376.

The previous prime is 52860761. The next prime is 52860779. The reversal of 52860768 is 86706825.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52860761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17721 + ... + 20487.

It is an arithmetic number, because the mean of its divisors is an integer number (2906400).

Almost surely, 252860768 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 52860768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69753600).

52860768 is an abundant number, since it is smaller than the sum of its proper divisors (86646432).

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

52860768 is a wasteful number, since it uses less digits than its factorization.

52860768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 52860768 is about 7270.5411077856. The cubic root of 52860768 is about 375.2993591828.

It can be divided in two parts, 52860 and 768, that added together give a triangular number (53628 = T327).

The spelling of 52860768 in words is "fifty-two million, eight hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2388 2767 3184 4776 5534 6368 8301 9552 11068 16602 19104 22136 33204 44272 66408 88544 132816 265632 550633 1101266 1651899 2202532 3303798 4405064 6607596 8810128 13215192 17620256 26430384 52860768