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3809352020 = 2253723732
BaseRepresentation
bin1110001100001110…
…0001100101010100
3100211110222010120212
43203003201211110
530300143231040
61425555344552
7163253646365
oct34303414524
910743863525
103809352020
111685309611
128a38b2158
13489290066
14281cc7b6c
15174666d65
hexe30e1954

3809352020 has 54 divisors (see below), whose sum is σ = 8243790282. Its totient is φ = 1478583936.

The previous prime is 3809352007. The next prime is 3809352077. The reversal of 3809352020 is 202539083.

It can be written as a sum of positive squares in 9 ways, for example, as 4682896 + 3804669124 = 2164^2 + 61682^2 .

It is a super-2 number, since 2×38093520202 = 29022325624556160800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10212554 + ... + 10212926.

It is an arithmetic number, because the mean of its divisors is an integer number (152662783).

Almost surely, 23809352020 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 3809352020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121895141).

3809352020 is an abundant number, since it is smaller than the sum of its proper divisors (4434438262).

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

3809352020 is an equidigital number, since it uses as much as digits as its factorization.

3809352020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 3809352020 is about 61719.9483149492. The cubic root of 3809352020 is about 1561.7698546587.

The spelling of 3809352020 in words is "three billion, eight hundred nine million, three hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 373 740 746 1369 1492 1865 2738 3730 5476 6845 7460 13690 13801 27380 27602 55204 69005 138010 139129 276020 278258 510637 556516 695645 1021274 1391290 2042548 2553185 2782580 5106370 5147773 10212740 10295546 20591092 25738865 51477730 102955460 190467601 380935202 761870404 952338005 1904676010 3809352020