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4225982560 = 25553607821
BaseRepresentation
bin1111101111100011…
…0110000001100000
3101220111221011020121
43323320312001200
532123322420220
61535201250024
7206503154602
oct37370660140
911814834217
104225982560
111879503278
1299b333914
135246a51c7
142c137b172
1519b012eaa
hexfbe36060

4225982560 has 96 divisors (see below), whose sum is σ = 10201427712. Its totient is φ = 1653749760.

The previous prime is 4225982549. The next prime is 4225982591. The reversal of 4225982560 is 652895224.

4225982560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5146950 + ... + 5147770.

It is an arithmetic number, because the mean of its divisors is an integer number (106264872).

Almost surely, 24225982560 is an apocalyptic number.

4225982560 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 4225982560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100713856).

4225982560 is an abundant number, since it is smaller than the sum of its proper divisors (5975445152).

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

4225982560 is a wasteful number, since it uses less digits than its factorization.

4225982560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 4225982560 is about 65007.5577144689. The cubic root of 4225982560 is about 1616.7488727580.

The spelling of 4225982560 in words is "four billion, two hundred twenty-five million, nine hundred eighty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 607 821 848 1060 1214 1642 1696 2120 2428 3035 3284 4105 4240 4856 6070 6568 8210 8480 9712 12140 13136 16420 19424 24280 26272 32171 32840 43513 48560 64342 65680 87026 97120 128684 131360 160855 174052 217565 257368 321710 348104 435130 498347 514736 643420 696208 870260 996694 1029472 1286840 1392416 1740520 1993388 2491735 2573680 3481040 3986776 4983470 5147360 6962080 7973552 9966940 15947104 19933880 26412391 39867760 52824782 79735520 105649564 132061955 211299128 264123910 422598256 528247820 845196512 1056495640 2112991280 4225982560