Search a number
-
+
655457440 = 2551117191153
BaseRepresentation
bin100111000100010…
…111110010100000
31200200100200120111
4213010113302200
52320244114230
6145012421104
722146203431
oct4704276240
91620320514
10655457440
11306a96970
12163617794
13a5a45051
14630a1488
153c82492a
hex27117ca0

655457440 has 192 divisors, whose sum is σ = 1884435840. Its totient is φ = 212336640.

The previous prime is 655457431. The next prime is 655457443. The reversal of 655457440 is 44754556.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 655457393 and 655457402.

It is not an unprimeable number, because it can be changed into a prime (655457443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567904 + ... + 569056.

It is an arithmetic number, because the mean of its divisors is an integer number (9814770).

Almost surely, 2655457440 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 655457440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942217920).

655457440 is an abundant number, since it is smaller than the sum of its proper divisors (1228978400).

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

655457440 is a wasteful number, since it uses less digits than its factorization.

655457440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 40.

The square root of 655457440 is about 25601.9030542653. The cubic root of 655457440 is about 868.6566841439.

The spelling of 655457440 in words is "six hundred fifty-five million, four hundred fifty-seven thousand, four hundred forty".