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2825000060 = 2256711091901
BaseRepresentation
bin1010100001100010…
…0001010001111100
321021212201212112212
42220120201101330
521241200000220
61144153315552
7130002050531
oct25030412174
97255655485
102825000060
11121a7033a3
1266a105bb8
1336037148c
141cb290d88
151180270c5
hexa862147c

2825000060 has 48 divisors (see below), whose sum is σ = 6029644320. Its totient is φ = 1111545600.

The previous prime is 2825000039. The next prime is 2825000069. The reversal of 2825000060 is 600005282.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825000069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485110 + ... + 1487010.

It is an arithmetic number, because the mean of its divisors is an integer number (125617590).

Almost surely, 22825000060 is an apocalyptic number.

2825000060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2825000060 is an abundant number, since it is smaller than the sum of its proper divisors (3204644260).

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

2825000060 is a wasteful number, since it uses less digits than its factorization.

2825000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2825000060 is about 53150.7296281058. The cubic root of 2825000060 is about 1413.6421540709.

The spelling of 2825000060 in words is "two billion, eight hundred twenty-five million, sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1109 1340 1901 2218 3802 4436 5545 7604 9505 11090 19010 22180 38020 74303 127367 148606 254734 297212 371515 509468 636835 743030 1273670 1486060 2108209 2547340 4216418 8432836 10541045 21082090 42164180 141250003 282500006 565000012 706250015 1412500030 2825000060