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3048485840 = 245731094789
BaseRepresentation
bin1011010110110100…
…0011001111010000
321212110021010101222
42311231003033100
522220403021330
61222255344212
7135354462551
oct26555031720
97773233358
103048485840
111324877594
12710b22068
1339775c69a
1420cc28328
1512c9700e5
hexb5b433d0

3048485840 has 80 divisors (see below), whose sum is σ = 7252251600. Its totient is φ = 1191407616.

The previous prime is 3048485743. The next prime is 3048485897. The reversal of 3048485840 is 485848403.

3048485840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 114746944 + 2933738896 = 10712^2 + 54164^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3048485791 and 3048485800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634166 + ... + 638954.

It is an arithmetic number, because the mean of its divisors is an integer number (90653145).

Almost surely, 23048485840 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 3048485840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626125800).

3048485840 is an abundant number, since it is smaller than the sum of its proper divisors (4203765760).

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

3048485840 is a wasteful number, since it uses less digits than its factorization.

3048485840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 44.

The square root of 3048485840 is about 55213.0948236014. The cubic root of 3048485840 is about 1449.9779370404.

The spelling of 3048485840 in words is "three billion, forty-eight million, four hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 109 146 218 292 365 436 545 584 730 872 1090 1168 1460 1744 2180 2920 4360 4789 5840 7957 8720 9578 15914 19156 23945 31828 38312 39785 47890 63656 76624 79570 95780 127312 159140 191560 318280 349597 383120 522001 636560 699194 1044002 1398388 1747985 2088004 2610005 2796776 3495970 4176008 5220010 5593552 6991940 8352016 10440020 13983880 20880040 27967760 38106073 41760080 76212146 152424292 190530365 304848584 381060730 609697168 762121460 1524242920 3048485840