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5302525000 = 23551131877
BaseRepresentation
bin1001111000000111…
…00001110001001000
3111200112122011211211
410330003201301020
541324421300000
62234055302504
7245254501363
oct47403416110
914615564754
105302525000
112281156573
12103b97aa34
13666731a76
143843310da
152107b37ba
hex13c0e1c48

5302525000 has 96 divisors (see below), whose sum is σ = 12543650280. Its totient is φ = 2101120000.

The previous prime is 5302524967. The next prime is 5302525009. The reversal of 5302525000 is 5252035.

It can be written as a sum of positive squares in 12 ways, for example, as 3802202244 + 1500322756 = 61662^2 + 38734^2 .

It is not an unprimeable number, because it can be changed into a prime (5302525009) 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 23 ways as a sum of consecutive naturals, for example, 2824062 + ... + 2825938.

Almost surely, 25302525000 is an apocalyptic number.

5302525000 is a gapful number since it is divisible by the number (50) 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 5302525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271825140).

5302525000 is an abundant number, since it is smaller than the sum of its proper divisors (7241125280).

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

5302525000 is a wasteful number, since it uses less digits than its factorization.

5302525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 5302525000 is about 72818.4385990252. The cubic root of 5302525000 is about 1743.7902360075.

Adding to 5302525000 its reverse (5252035), we get a palindrome (5307777035).

The spelling of 5302525000 in words is "five billion, three hundred two million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 625 904 1000 1130 1250 1877 2260 2500 2825 3125 3754 4520 5000 5650 6250 7508 9385 11300 12500 14125 15016 18770 22600 25000 28250 37540 46925 56500 70625 75080 93850 113000 141250 187700 212101 234625 282500 353125 375400 424202 469250 565000 706250 848404 938500 1060505 1173125 1412500 1696808 1877000 2121010 2346250 2825000 4242020 4692500 5302525 5865625 8484040 9385000 10605050 11731250 21210100 23462500 26512625 42420200 46925000 53025250 106050500 132563125 212101000 265126250 530252500 662815625 1060505000 1325631250 2651262500 5302525000