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2753425000 = 2355241457
BaseRepresentation
bin1010010000011101…
…1110111001101000
321002220001111000201
42210013132321220
521114334100000
61133115241544
7125142504064
oct24407367150
97086044021
102753425000
111193266a57
1264a1492b4
1334b5a0a81
141c197caa4
15111ad996a
hexa41dee68

2753425000 has 96 divisors (see below), whose sum is σ = 6493881240. Its totient is φ = 1094400000.

The previous prime is 2753424997. The next prime is 2753425001. The reversal of 2753425000 is 5243572.

2753425000 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 12 ways, for example, as 439237764 + 2314187236 = 20958^2 + 48106^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2753425000.

It is not an unprimeable number, because it can be changed into a prime (2753425001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6024772 + ... + 6025228.

Almost surely, 22753425000 is an apocalyptic number.

2753425000 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 2753425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246940620).

2753425000 is an abundant number, since it is smaller than the sum of its proper divisors (3740456240).

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

2753425000 is an equidigital number, since it uses as much as digits as its factorization.

2753425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 2753425000 is about 52473.0883405961. The cubic root of 2753425000 is about 1401.6010594646.

Adding to 2753425000 its reverse (5243572), we get a palindrome (2758668572).

The spelling of 2753425000 in words is "two billion, seven hundred fifty-three million, four hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 241 250 457 482 500 625 914 964 1000 1205 1250 1828 1928 2285 2410 2500 3125 3656 4570 4820 5000 6025 6250 9140 9640 11425 12050 12500 18280 22850 24100 25000 30125 45700 48200 57125 60250 91400 110137 114250 120500 150625 220274 228500 241000 285625 301250 440548 457000 550685 571250 602500 753125 881096 1101370 1142500 1205000 1428125 1506250 2202740 2285000 2753425 2856250 3012500 4405480 5506850 5712500 6025000 11013700 11425000 13767125 22027400 27534250 55068500 68835625 110137000 137671250 275342500 344178125 550685000 688356250 1376712500 2753425000