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4624250000 = 245653349
BaseRepresentation
bin1000100111010000…
…00111010010010000
3102221021100020110112
410103220013102100
533432302000000
62042505420452
7222410322266
oct42350072220
912837306415
104624250000
111a632a5517
12a9079a728
1358905b006
1431c210436
151c0e83235
hex113a07490

4624250000 has 140 divisors (see below), whose sum is σ = 11443212900. Its totient is φ = 1809600000.

The previous prime is 4624249991. The next prime is 4624250011. The reversal of 4624250000 is 524264.

It can be written as a sum of positive squares in 14 ways, for example, as 4460102656 + 164147344 = 66784^2 + 12812^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13249826 + ... + 13250174.

It is an arithmetic number, because the mean of its divisors is an integer number (81737235).

Almost surely, 24624250000 is an apocalyptic number.

4624250000 is a gapful number since it is divisible by the number (40) 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 4624250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721606450).

4624250000 is an abundant number, since it is smaller than the sum of its proper divisors (6818962900).

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

4624250000 is an frugal number, since it uses more digits than its factorization.

4624250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 4624250000 is about 68001.8382104484. The cubic root of 4624250000 is about 1666.0208609044.

Adding to 4624250000 its reverse (524264), we get a palindrome (4624774264).

It can be divided in two parts, 4624 and 250000, that multiplied together give a square (1156000000 = 340002).

The spelling of 4624250000 in words is "four billion, six hundred twenty-four million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 349 400 424 500 530 625 698 848 1000 1060 1250 1325 1396 1745 2000 2120 2500 2650 2792 3125 3490 4240 5000 5300 5584 6250 6625 6980 8725 10000 10600 12500 13250 13960 15625 17450 18497 21200 25000 26500 27920 31250 33125 34900 36994 43625 50000 53000 62500 66250 69800 73988 87250 92485 106000 125000 132500 139600 147976 165625 174500 184970 218125 250000 265000 295952 331250 349000 369940 436250 462425 530000 662500 698000 739880 828125 872500 924850 1090625 1325000 1479760 1656250 1745000 1849700 2181250 2312125 2650000 3312500 3490000 3699400 4362500 4624250 5453125 6625000 7398800 8725000 9248500 10906250 11560625 13250000 17450000 18497000 21812500 23121250 36994000 43625000 46242500 57803125 87250000 92485000 115606250 184970000 231212500 289015625 462425000 578031250 924850000 1156062500 2312125000 4624250000