Search a number
-
+
663027456 = 28371353179
BaseRepresentation
bin100111100001001…
…111111100000000
31201012121021200110
4213201033330000
52324213334311
6145442551320
722300432440
oct4741177400
91635537613
10663027456
11310297383
12166068540
13a7495850
14640b2120
153d31c8a6
hex2784ff00

663027456 has 288 divisors, whose sum is σ = 2225180160. Its totient is φ = 170606592.

The previous prime is 663027437. The next prime is 663027467. The reversal of 663027456 is 654720366.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 3703975 + ... + 3704153.

It is an arithmetic number, because the mean of its divisors is an integer number (7726320).

Almost surely, 2663027456 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 663027456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112590080).

663027456 is an abundant number, since it is smaller than the sum of its proper divisors (1562152704).

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

663027456 is a wasteful number, since it uses less digits than its factorization.

663027456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 663027456 is about 25749.3195249894. The cubic root of 663027456 is about 871.9879918667.

The spelling of 663027456 in words is "six hundred sixty-three million, twenty-seven thousand, four hundred fifty-six".