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81593472 = 2731729431
BaseRepresentation
bin1001101110100…
…00010010000000
312200112101012110
410313100102000
5131341442342
612032455320
72010350562
oct467202200
9180471173
1081593472
114206a424
12233aa540
1313b9a77c
14ab9d332
15726ac9c
hex4dd0480

81593472 has 128 divisors (see below), whose sum is σ = 237945600. Its totient is φ = 24657920.

The previous prime is 81593461. The next prime is 81593507. The reversal of 81593472 is 27439518.

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

It is a self number, because there is not a number n which added to its sum of digits gives 81593472.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189097 + ... + 189527.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 281593472 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 81593472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118972800).

81593472 is an abundant number, since it is smaller than the sum of its proper divisors (156352128).

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

81593472 is a wasteful number, since it uses less digits than its factorization.

81593472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 81593472 is about 9032.9104944088. The cubic root of 81593472 is about 433.7290103262.

The spelling of 81593472 in words is "eighty-one million, five hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 174 192 204 232 272 348 384 408 431 464 493 544 696 816 862 928 986 1088 1293 1392 1479 1632 1724 1856 1972 2176 2586 2784 2958 3264 3448 3712 3944 5172 5568 5916 6528 6896 7327 7888 10344 11136 11832 12499 13792 14654 15776 20688 21981 23664 24998 27584 29308 31552 37497 41376 43962 47328 49996 55168 58616 63104 74994 82752 87924 94656 99992 117232 149988 165504 175848 189312 199984 212483 234464 299976 351696 399968 424966 468928 599952 637449 703392 799936 849932 937856 1199904 1274898 1406784 1599872 1699864 2399808 2549796 2813568 3399728 4799616 5099592 6799456 10199184 13598912 20398368 27197824 40796736 81593472