Search a number
-
+
607393248 = 253711127647
BaseRepresentation
bin100100001101000…
…001010111100000
31120022220202220020
4210031001113200
52220443040443
6140134313440
721023520540
oct4415012740
91508822806
10607393248
112919485a0
1214b4b8880
1398ab6ab7
145a94d320
15384cd583
hex243415e0

607393248 has 192 divisors, whose sum is σ = 2006581248. Its totient is φ = 156280320.

The previous prime is 607393247. The next prime is 607393249. The reversal of 607393248 is 842393706.

It is an interprime number because it is at equal distance from previous prime (607393247) and next prime (607393249).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (607393243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 938461 + ... + 939107.

It is an arithmetic number, because the mean of its divisors is an integer number (10450944).

Almost surely, 2607393248 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 607393248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003290624).

607393248 is an abundant number, since it is smaller than the sum of its proper divisors (1399188000).

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

607393248 is a wasteful number, since it uses less digits than its factorization.

607393248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 607393248 is about 24645.3494193124. The cubic root of 607393248 is about 846.8828144557.

The spelling of 607393248 in words is "six hundred seven million, three hundred ninety-three thousand, two hundred forty-eight".