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4056513620 = 2252935319813
BaseRepresentation
bin1111000111001001…
…0111110001010100
3101110201001020120012
43301302113301110
531301431413440
61510305055352
7202344540215
oct36162276124
911421036505
104056513620
1117a18837a5
12952627558
134c854a823
142a6a6540c
1518b1d9e65
hexf1c97c54

4056513620 has 48 divisors (see below), whose sum is σ = 8837836560. Its totient is φ = 1562136576.

The previous prime is 4056513607. The next prime is 4056513683. The reversal of 4056513620 is 263156504.

It can be written as a sum of positive squares in 8 ways, for example, as 843437764 + 3213075856 = 29042^2 + 56684^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194834 + ... + 214646.

It is an arithmetic number, because the mean of its divisors is an integer number (184121595).

Almost surely, 24056513620 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 4056513620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418918280).

4056513620 is an abundant number, since it is smaller than the sum of its proper divisors (4781322940).

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

4056513620 is a wasteful number, since it uses less digits than its factorization.

4056513620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20204 (or 20202 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 4056513620 is about 63690.7655786928. The cubic root of 4056513620 is about 1594.8419336092.

The spelling of 4056513620 in words is "four billion, fifty-six million, five hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 353 580 706 1412 1765 3530 7060 10237 19813 20474 39626 40948 51185 79252 99065 102370 198130 204740 396260 574577 1149154 2298308 2872885 5745770 6993989 11491540 13987978 27975956 34969945 69939890 139879780 202825681 405651362 811302724 1014128405 2028256810 4056513620