Search a number
-
+
626225056 = 251759109179
BaseRepresentation
bin100101010100110…
…110111110100000
31121122100112021121
4211110312332200
52240303200211
6142050102024
721342553012
oct4524667640
91548315247
10626225056
112a1540176
1215587a914
139c97b592
145d2521b2
1539e9d271
hex25536fa0

626225056 has 96 divisors (see below), whose sum is σ = 1347192000. Its totient is φ = 285437952.

The previous prime is 626225053. The next prime is 626225069. The reversal of 626225056 is 650522626.

626225056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (626225053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3498375 + ... + 3498553.

It is an arithmetic number, because the mean of its divisors is an integer number (14033250).

Almost surely, 2626225056 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 626225056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673596000).

626225056 is an abundant number, since it is smaller than the sum of its proper divisors (720966944).

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

626225056 is a wasteful number, since it uses less digits than its factorization.

626225056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 626225056 is about 25024.4891256545. The cubic root of 626225056 is about 855.5462264333.

The spelling of 626225056 in words is "six hundred twenty-six million, two hundred twenty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 59 68 109 118 136 179 218 236 272 358 436 472 544 716 872 944 1003 1432 1744 1853 1888 2006 2864 3043 3488 3706 4012 5728 6086 6431 7412 8024 10561 12172 12862 14824 16048 19511 21122 24344 25724 29648 32096 39022 42244 48688 51448 59296 78044 84488 97376 102896 109327 156088 168976 179537 205792 218654 312176 331687 337952 359074 437308 624352 663374 718148 874616 1151149 1326748 1436296 1749232 2302298 2653496 2872592 3498464 4604596 5306992 5745184 9209192 10613984 18418384 19569533 36836768 39139066 78278132 156556264 313112528 626225056