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4235253120 = 273257234567
BaseRepresentation
bin1111110001110000…
…1101010110000000
3101221011101011001200
43330130031112000
532133211044440
61540132101200
7206645025510
oct37434152600
911834334050
104235253120
11188376539a
129a2464800
1352659ca47
142c26b1840
1519bc44c30
hexfc70d580

4235253120 has 384 divisors, whose sum is σ = 17444643840. Its totient is φ = 925765632.

The previous prime is 4235253107. The next prime is 4235253149. The reversal of 4235253120 is 213525324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925077 + ... + 929643.

It is an arithmetic number, because the mean of its divisors is an integer number (45428760).

Almost surely, 24235253120 is an apocalyptic number.

4235253120 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 4235253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722321920).

4235253120 is an abundant number, since it is smaller than the sum of its proper divisors (13209390720).

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

4235253120 is a wasteful number, since it uses less digits than its factorization.

4235253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4235253120 is about 65078.8223618098. The cubic root of 4235253120 is about 1617.9302328071.

Adding to 4235253120 its reverse (213525324), we get a palindrome (4448778444).

The spelling of 4235253120 in words is "four billion, two hundred thirty-five million, two hundred fifty-three thousand, one hundred twenty".