Search a number
-
+
81359376 = 24373173107
BaseRepresentation
bin1001101100101…
…11001000010000
312200002111002020
410312113020100
5131312000001
612023451440
72005354230
oct466271020
9180074066
1081359376
1141a1a55a
12232b6b80
1313b18057
14ab3bcc0
157221736
hex4d97210

81359376 has 160 divisors (see below), whose sum is σ = 253698048. Its totient is φ = 21980160.

The previous prime is 81359363. The next prime is 81359381. The reversal of 81359376 is 67395318.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 760315 + ... + 760421.

Almost surely, 281359376 is an apocalyptic number.

81359376 is the 5208-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81359376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126849024).

81359376 is an abundant number, since it is smaller than the sum of its proper divisors (172338672).

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

81359376 is a wasteful number, since it uses less digits than its factorization.

81359376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 81359376 is about 9019.9432370719. The cubic root of 81359376 is about 433.3138158205.

The spelling of 81359376 in words is "eighty-one million, three hundred fifty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 73 84 93 107 112 124 146 168 186 214 217 219 248 292 321 336 372 428 434 438 496 511 584 642 651 744 749 856 868 876 1022 1168 1284 1302 1488 1498 1533 1712 1736 1752 2044 2247 2263 2568 2604 2996 3066 3317 3472 3504 4088 4494 4526 5136 5208 5992 6132 6634 6789 7811 8176 8988 9052 9951 10416 11984 12264 13268 13578 15622 15841 17976 18104 19902 23219 23433 24528 26536 27156 31244 31682 35952 36208 39804 46438 46866 47523 53072 54312 54677 62488 63364 69657 79608 92876 93732 95046 108624 109354 124976 126728 139314 159216 164031 185752 187464 190092 218708 242141 253456 278628 328062 371504 374928 380184 437416 484282 557256 656124 726423 760368 874832 968564 1114512 1312248 1452846 1694987 1937128 2624496 2905692 3389974 3874256 5084961 5811384 6779948 10169922 11622768 13559896 20339844 27119792 40679688 81359376