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627922048 = 27133531069
BaseRepresentation
bin100101011011010…
…101010010000000
31121202112202010011
4211123111102000
52241222001143
6142150314304
721363151345
oct4533252200
91552482104
10627922048
112a249a146
12156358994
13a0123b10
145d5747cc
153a1d5e9d
hex256d5480

627922048 has 64 divisors (see below), whose sum is σ = 1352244600. Its totient is φ = 288718848.

The previous prime is 627922039. The next prime is 627922049. The reversal of 627922048 is 840229726.

It can be written as a sum of positive squares in 4 ways, for example, as 397125184 + 230796864 = 19928^2 + 15192^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 627922048.

It is not an unprimeable number, because it can be changed into a prime (627922049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 586858 + ... + 587926.

Almost surely, 2627922048 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 627922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676122300).

627922048 is an abundant number, since it is smaller than the sum of its proper divisors (724322552).

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

627922048 is a wasteful number, since it uses less digits than its factorization.

627922048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 627922048 is about 25058.3728122957. The cubic root of 627922048 is about 856.3183373594.

The spelling of 627922048 in words is "six hundred twenty-seven million, nine hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 353 416 706 832 1069 1412 1664 2138 2824 4276 4589 5648 8552 9178 11296 13897 17104 18356 22592 27794 34208 36712 45184 55588 68416 73424 111176 136832 146848 222352 293696 377357 444704 587392 754714 889408 1509428 1778816 3018856 4905641 6037712 9811282 12075424 19622564 24150848 39245128 48301696 78490256 156980512 313961024 627922048