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2252649728 = 2871966161
BaseRepresentation
bin1000011001000100…
…1011010100000000
312210222202110111102
42012101023110000
514103134242403
61011310033532
7106552130630
oct20621132400
95728673442
102252649728
11a5662009a
1252a4a88a8
1329b906b44
141752646c0
15d2b6bb88
hex8644b500

2252649728 has 72 divisors (see below), whose sum is σ = 5409405120. Its totient is φ = 914595840.

The previous prime is 2252649727. The next prime is 2252649767. The reversal of 2252649728 is 8279462522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252649727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 968 + ... + 67128.

Almost surely, 22252649728 is an apocalyptic number.

2252649728 is a gapful number since it is divisible by the number (28) 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 2252649728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704702560).

2252649728 is an abundant number, since it is smaller than the sum of its proper divisors (3156755392).

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

2252649728 is an equidigital number, since it uses as much as digits as its factorization.

2252649728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66203 (or 66189 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The square root of 2252649728 is about 47462.0872697356. The cubic root of 2252649728 is about 1310.8848843380.

The spelling of 2252649728 in words is "two billion, two hundred fifty-two million, six hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1064 1216 1792 2128 2432 4256 4864 8512 17024 34048 66161 132322 264644 463127 529288 926254 1058576 1257059 1852508 2117152 2514118 3705016 4234304 5028236 7410032 8468608 8799413 10056472 14820064 16937216 17598826 20112944 29640128 35197652 40225888 59280256 70395304 80451776 118560512 140790608 160903552 281581216 321807104 563162432 1126324864 2252649728