Search a number
-
+
3064500048 = 243971793677
BaseRepresentation
bin1011011010101000…
…1000111101010000
321220120101201202210
42312222020331100
522234003000143
61224030512120
7135640551321
oct26652107520
97816351683
103064500048
111332915275
12716365640
1339ab7884c
14210dd6448
1512e085033
hexb6a88f50

3064500048 has 80 divisors (see below), whose sum is σ = 8045110080. Its totient is φ = 1005047808.

The previous prime is 3064500041. The next prime is 3064500077. The reversal of 3064500048 is 8400054603.

It is a junction number, because it is equal to n+sod(n) for n = 3064499988 and 3064500024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3064500041) 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, 831586 + ... + 835262.

It is an arithmetic number, because the mean of its divisors is an integer number (100563876).

Almost surely, 23064500048 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 3064500048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022555040).

3064500048 is an abundant number, since it is smaller than the sum of its proper divisors (4980610032).

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

3064500048 is a wasteful number, since it uses less digits than its factorization.

3064500048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3064500048 is about 55357.9266952801. The cubic root of 3064500048 is about 1452.5124965770.

The spelling of 3064500048 in words is "three billion, sixty-four million, five hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 179 194 291 358 388 537 582 716 776 1074 1164 1432 1552 2148 2328 2864 3677 4296 4656 7354 8592 11031 14708 17363 22062 29416 34726 44124 52089 58832 69452 88248 104178 138904 176496 208356 277808 356669 416712 658183 713338 833424 1070007 1316366 1426676 1974549 2140014 2632732 2853352 3949098 4280028 5265464 5706704 7898196 8560056 10530928 15796392 17120112 31592784 63843751 127687502 191531253 255375004 383062506 510750008 766125012 1021500016 1532250024 3064500048