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2572827140 = 2251329333773
BaseRepresentation
bin1001100101011010…
…0011101000000100
320122022020011100002
42121112203220010
520232120432030
61103144340432
7120520445522
oct23126435004
96568204302
102572827140
111100326124
125b9774718
1332004aa30
141a59ab312
15100d14245
hex995a3a04

2572827140 has 48 divisors (see below), whose sum is σ = 5838578928. Its totient is φ = 946696704.

The previous prime is 2572827139. The next prime is 2572827149. The reversal of 2572827140 is 417282752.

It can be written as a sum of positive squares in 8 ways, for example, as 8620096 + 2564207044 = 2936^2 + 50638^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2572827094 and 2572827103.

It is not an unprimeable number, because it can be changed into a prime (2572827149) 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, 59294 + ... + 93066.

It is an arithmetic number, because the mean of its divisors is an integer number (121637061).

Almost surely, 22572827140 is an apocalyptic number.

2572827140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2572827140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919289464).

2572827140 is an abundant number, since it is smaller than the sum of its proper divisors (3265751788).

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

2572827140 is a wasteful number, since it uses less digits than its factorization.

2572827140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34088 (or 34086 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 38.

The square root of 2572827140 is about 50723.0434812423. The cubic root of 2572827140 is about 1370.2617540243.

The spelling of 2572827140 in words is "two billion, five hundred seventy-two million, eight hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 293 586 1172 1465 2930 3809 5860 7618 15236 19045 33773 38090 67546 76180 135092 168865 337730 439049 675460 878098 1756196 2195245 4390490 8780980 9895489 19790978 39581956 49477445 98954890 128641357 197909780 257282714 514565428 643206785 1286413570 2572827140