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5063200400 = 245282915269
BaseRepresentation
bin1001011011100101…
…00100111010010000
3111001212022020012202
410231302210322100
540332134403100
62154225542332
7236320331126
oct45562447220
914055266182
105063200400
112169054445
12b937a49a8
13628c8948b
14360633916
151e978c7d5
hex12dca4e90

5063200400 has 60 divisors (see below), whose sum is σ = 12179810100. Its totient is φ = 2022704640.

The previous prime is 5063200369. The next prime is 5063200403. The reversal of 5063200400 is 40023605.

It can be written as a sum of positive squares in 6 ways, for example, as 82228624 + 4980971776 = 9068^2 + 70576^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5063200403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323966 + ... + 339234.

It is an arithmetic number, because the mean of its divisors is an integer number (202996835).

Almost surely, 25063200400 is an apocalyptic number.

5063200400 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 5063200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089905050).

5063200400 is an abundant number, since it is smaller than the sum of its proper divisors (7116609700).

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

5063200400 is a wasteful number, since it uses less digits than its factorization.

5063200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16116 (or 16105 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 5063200400 is about 71156.1690930590. The cubic root of 5063200400 is about 1717.1505461395.

The spelling of 5063200400 in words is "five billion, sixty-three million, two hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 829 1658 3316 4145 6632 8290 13264 15269 16580 20725 30538 33160 41450 61076 66320 76345 82900 122152 152690 165800 244304 305380 331600 381725 610760 763450 1221520 1526900 3053800 6107600 12658001 25316002 50632004 63290005 101264008 126580010 202528016 253160020 316450025 506320040 632900050 1012640080 1265800100 2531600200 5063200400