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2825552500 = 225410910369
BaseRepresentation
bin1010100001101010…
…1000001001110100
321021220202221100121
42220122220021310
521241320140000
61144213221324
7130006541251
oct25032501164
97256687317
102825552500
11121aa50461
1266a331844
13360505a74
141cb396428
151180d5b1a
hexa86a8274

2825552500 has 60 divisors (see below), whose sum is σ = 6236206900. Its totient is φ = 1119744000.

The previous prime is 2825552449. The next prime is 2825552501. The reversal of 2825552500 is 52555282.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2531498596 + 294053904 = 50314^2 + 17148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825552501) 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 19 ways as a sum of consecutive naturals, for example, 267316 + ... + 277684.

Almost surely, 22825552500 is an apocalyptic number.

2825552500 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 2825552500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118103450).

2825552500 is an abundant number, since it is smaller than the sum of its proper divisors (3410654400).

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

2825552500 is a wasteful number, since it uses less digits than its factorization.

2825552500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10502 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

The square root of 2825552500 is about 53155.9262923712. The cubic root of 2825552500 is about 1413.7342958472.

The spelling of 2825552500 in words is "two billion, eight hundred twenty-five million, five hundred fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 125 218 250 436 500 545 625 1090 1250 2180 2500 2725 5450 10369 10900 13625 20738 27250 41476 51845 54500 68125 103690 136250 207380 259225 272500 518450 1036900 1130221 1296125 2260442 2592250 4520884 5184500 5651105 6480625 11302210 12961250 22604420 25922500 28255525 56511050 113022100 141277625 282555250 565110500 706388125 1412776250 2825552500