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5005731250 = 2551361609
BaseRepresentation
bin1001010100101110…
…10110010110110010
3110220212011111100201
410222113112112302
540222431400000
62144414105414
7235022004442
oct45227262662
913825144321
105005731250
112139671a83
12b784ab26a
1361a0b7470
14356b54122
151e46d996a
hex12a5d65b2

5005731250 has 48 divisors (see below), whose sum is σ = 10107243720. Its totient is φ = 1848240000.

The previous prime is 5005731167. The next prime is 5005731257. The reversal of 5005731250 is 521375005.

It can be written as a sum of positive squares in 12 ways, for example, as 4293001441 + 712729809 = 65521^2 + 26697^2 .

It is not an unprimeable number, because it can be changed into a prime (5005731257) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 50446 + ... + 112054.

Almost surely, 25005731250 is an apocalyptic number.

5005731250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5005731250 is an abundant number, since it is smaller than the sum of its proper divisors (5101512470).

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

5005731250 is an equidigital number, since it uses as much as digits as its factorization.

5005731250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61649 (or 61629 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 5005731250 is about 70751.1925694543. The cubic root of 5005731250 is about 1710.6290505098.

The spelling of 5005731250 in words is "five billion, five million, seven hundred thirty-one thousand, two hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 125 130 250 325 625 650 1250 1625 3125 3250 6250 8125 16250 40625 61609 81250 123218 308045 616090 800917 1540225 1601834 3080450 4004585 7701125 8009170 15402250 20022925 38505625 40045850 77011250 100114625 192528125 200229250 385056250 500573125 1001146250 2502865625 5005731250