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682311552 = 273131031327
BaseRepresentation
bin101000101010110…
…011111110000000
31202112220000111020
4220222303332000
52344132432202
6151412145440
722623360336
oct5052637600
91675800436
10682311552
1132016884a
12170608280
13ab488160
1466891b56
153ed7b5bc
hex28ab3f80

682311552 has 128 divisors (see below), whose sum is σ = 1972239360. Its totient is φ = 207747072.

The previous prime is 682311529. The next prime is 682311557. The reversal of 682311552 is 255113286.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682311557) 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, 513513 + ... + 514839.

It is an arithmetic number, because the mean of its divisors is an integer number (15408120).

Almost surely, 2682311552 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 682311552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986119680).

682311552 is an abundant number, since it is smaller than the sum of its proper divisors (1289927808).

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

682311552 is a wasteful number, since it uses less digits than its factorization.

682311552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1448 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 682311552 is about 26121.0940046546. The cubic root of 682311552 is about 880.3612291101.

The spelling of 682311552 in words is "six hundred eighty-two million, three hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 128 156 192 206 208 309 312 384 412 416 618 624 824 832 1236 1248 1327 1339 1648 1664 2472 2496 2654 2678 3296 3981 4017 4944 4992 5308 5356 6592 7962 8034 9888 10616 10712 13184 15924 16068 17251 19776 21232 21424 31848 32136 34502 39552 42464 42848 51753 63696 64272 69004 84928 85696 103506 127392 128544 136681 138008 169856 171392 207012 254784 257088 273362 276016 410043 414024 509568 514176 546724 552032 820086 828048 1093448 1104064 1640172 1656096 1776853 2186896 2208128 3280344 3312192 3553706 4373792 5330559 6560688 6624384 7107412 8747584 10661118 13121376 14214824 17495168 21322236 26242752 28429648 42644472 52485504 56859296 85288944 113718592 170577888 227437184 341155776 682311552