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5188253952 = 283753131139
BaseRepresentation
bin1001101010011111…
…00111100100000000
3111101120121121102210
410311033213210000
541111143111302
62214454142120
7242366300550
oct46517474400
914346547383
105188253952
1122226a7a92
121009651940
13648b6266b
143730a7160
1520574066c
hex1353e7900

5188253952 has 288 divisors, whose sum is σ = 16317987840. Its totient is φ = 1432903680.

The previous prime is 5188253927. The next prime is 5188253971. The reversal of 5188253952 is 2593528815.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37325499 + ... + 37325637.

It is an arithmetic number, because the mean of its divisors is an integer number (56659680).

Almost surely, 25188253952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5188253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158993920).

5188253952 is an abundant number, since it is smaller than the sum of its proper divisors (11129733888).

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

5188253952 is a wasteful number, since it uses less digits than its factorization.

5188253952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its digits is 864000, while the sum is 48.

The square root of 5188253952 is about 72029.5352754688. The cubic root of 5188253952 is about 1731.1727546641.

The spelling of 5188253952 in words is "five billion, one hundred eighty-eight million, two hundred fifty-three thousand, nine hundred fifty-two".