Search a number
-
+
5237245440 = 29325724639
BaseRepresentation
bin1001110000010101…
…00000011000000000
3111111222210122010100
410320022200120000
541211213323230
62223404202400
7243532565100
oct47012403000
914458718110
105237245440
11224831a019
121021b39400
136560569cb
143797bb200
15209bbb660
hex1382a0600

5237245440 has 360 divisors, whose sum is σ = 21103917120. Its totient is φ = 1196826624.

The previous prime is 5237245439. The next prime is 5237245441. The reversal of 5237245440 is 445427325.

It is an interprime number because it is at equal distance from previous prime (5237245439) and next prime (5237245441).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5237245395 and 5237245404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5237245441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1126641 + ... + 1131279.

It is an arithmetic number, because the mean of its divisors is an integer number (58621992).

Almost surely, 25237245440 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 5237245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10551958560).

5237245440 is an abundant number, since it is smaller than the sum of its proper divisors (15866671680).

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

5237245440 is a wasteful number, since it uses less digits than its factorization.

5237245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 5237245440 is about 72368.8153834233. The cubic root of 5237245440 is about 1736.6047147553.

The spelling of 5237245440 in words is "five billion, two hundred thirty-seven million, two hundred forty-five thousand, four hundred forty".