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5250302800 = 245264120477
BaseRepresentation
bin1001110001111000…
…10100001101010000
3111112220101000110021
410320330110031100
541223034142200
62224552113224
7244051560151
oct47074241520
914486330407
105250302800
112254728226
121026395814
13658979062
1437b419928
1520adea41a
hex138f14350

5250302800 has 60 divisors (see below), whose sum is σ = 12634147836. Its totient is φ = 2096742400.

The previous prime is 5250302777. The next prime is 5250302873. The reversal of 5250302800 is 82030525.

It can be written as a sum of positive squares in 6 ways, for example, as 308775184 + 4941527616 = 17572^2 + 70296^2 .

It is a super-3 number, since 3×52503028003 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246162 + ... + 266638.

Almost surely, 25250302800 is an apocalyptic number.

5250302800 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 5250302800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317073918).

5250302800 is an abundant number, since it is smaller than the sum of its proper divisors (7383845036).

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

5250302800 is a wasteful number, since it uses less digits than its factorization.

5250302800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21136 (or 21125 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5250302800 is about 72458.9732193329. The cubic root of 5250302800 is about 1738.0467357967.

The spelling of 5250302800 in words is "five billion, two hundred fifty million, three hundred two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 641 1282 2564 3205 5128 6410 10256 12820 16025 20477 25640 32050 40954 51280 64100 81908 102385 128200 163816 204770 256400 327632 409540 511925 819080 1023850 1638160 2047700 4095400 8190800 13125757 26251514 52503028 65628785 105006056 131257570 210012112 262515140 328143925 525030280 656287850 1050060560 1312575700 2625151400 5250302800