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80553564 = 223271367367
BaseRepresentation
bin1001100110100…
…10011001011100
312121120112201100
410303102121130
5131110203224
611554313100
71665460020
oct463223134
9177515640
1080553564
114151a0a3
1222b88790
13138c5340
14a9ac380
157112ac9
hex4cd265c

80553564 has 144 divisors (see below), whose sum is σ = 255044608. Its totient is φ = 20870784.

The previous prime is 80553563. The next prime is 80553569. The reversal of 80553564 is 46535508.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80553563) 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 47 ways as a sum of consecutive naturals, for example, 219309 + ... + 219675.

Almost surely, 280553564 is an apocalyptic number.

80553564 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80553564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127522304).

80553564 is an abundant number, since it is smaller than the sum of its proper divisors (174491044).

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

80553564 is a wasteful number, since it uses less digits than its factorization.

80553564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 80553564 is about 8975.1637310971. The cubic root of 80553564 is about 431.8785023553.

The spelling of 80553564 in words is "eighty million, five hundred fifty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 67 78 84 91 117 126 134 156 182 201 234 252 268 273 364 367 402 468 469 546 603 734 804 819 871 938 1092 1101 1206 1407 1468 1638 1742 1876 2202 2412 2569 2613 2814 3276 3303 3484 4221 4404 4771 5138 5226 5628 6097 6606 7707 7839 8442 9542 10276 10452 12194 13212 14313 15414 15678 16884 18291 19084 23121 24388 24589 28626 30828 31356 33397 36582 42939 46242 49178 54873 57252 66794 73164 73767 85878 92484 98356 100191 109746 133588 147534 171756 172123 200382 219492 221301 295068 300573 319657 344246 400764 442602 516369 601146 639314 688492 885204 958971 1032738 1202292 1278628 1549107 1917942 2065476 2237599 2876913 3098214 3835884 4475198 5753826 6196428 6712797 8950396 11507652 13425594 20138391 26851188 40276782 80553564