Search a number
-
+
81593232 = 24372113307
BaseRepresentation
bin1001101110100…
…00001110010000
312200112100212120
410313100032100
5131341440412
612032454240
72010350100
oct467201620
9180470776
1081593232
114206a226
12233aa380
1313b9a626
14ab9d200
15726ab8c
hex4dd0390

81593232 has 120 divisors (see below), whose sum is σ = 248171616. Its totient is φ = 23030784.

The previous prime is 81593191. The next prime is 81593243. The reversal of 81593232 is 23239518.

Its product of digits (12960) is a multiple of the sum of its prime divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 81593193 and 81593202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265623 + ... + 265929.

Almost surely, 281593232 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 81593232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124085808).

81593232 is an abundant number, since it is smaller than the sum of its proper divisors (166578384).

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

81593232 is a wasteful number, since it uses less digits than its factorization.

81593232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 432 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 81593232 is about 9032.8972096443. The cubic root of 81593232 is about 433.7285850672.

The spelling of 81593232 in words is "eighty-one million, five hundred ninety-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 113 147 168 196 226 294 307 336 339 392 452 588 614 678 784 791 904 921 1176 1228 1356 1582 1808 1842 2149 2352 2373 2456 2712 3164 3684 4298 4746 4912 5424 5537 6328 6447 7368 8596 9492 11074 12656 12894 14736 15043 16611 17192 18984 22148 25788 30086 33222 34384 34691 37968 44296 45129 51576 60172 66444 69382 88592 90258 103152 104073 120344 132888 138764 180516 208146 240688 242837 265776 277528 361032 416292 485674 555056 722064 728511 832584 971348 1457022 1665168 1699859 1942696 2914044 3399718 3885392 5099577 5828088 6799436 10199154 11656176 13598872 20398308 27197744 40796616 81593232