Search a number
-
+
81926784 = 2732192197
BaseRepresentation
bin1001110001000…
…01101010000000
312201011022102100
410320201222000
5131433124114
612043550400
72013236412
oct470415200
9181138370
1081926784
1142277895
122352b400
1313c863b4
14ac489b2
1572d4909
hex4e21a80

81926784 has 144 divisors (see below), whose sum is σ = 250076970. Its totient is φ = 25740288.

The previous prime is 81926777. The next prime is 81926807. The reversal of 81926784 is 48762918.

It can be written as a sum of positive squares in only one way, i.e., 46785600 + 35141184 = 6840^2 + 5928^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 415774 + ... + 415970.

Almost surely, 281926784 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 81926784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125038485).

81926784 is an abundant number, since it is smaller than the sum of its proper divisors (168150186).

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

81926784 is a wasteful number, since it uses less digits than its factorization.

81926784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 221 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 81926784 is about 9051.3415580233. The cubic root of 81926784 is about 434.3188070021.

The spelling of 81926784 in words is "eighty-one million, nine hundred twenty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 197 228 288 304 342 361 384 394 456 576 591 608 684 722 788 912 1083 1152 1182 1216 1368 1444 1576 1773 1824 2166 2364 2432 2736 2888 3152 3249 3546 3648 3743 4332 4728 5472 5776 6304 6498 7092 7296 7486 8664 9456 10944 11229 11552 12608 12996 14184 14972 17328 18912 21888 22458 23104 25216 25992 28368 29944 33687 34656 37824 44916 46208 51984 56736 59888 67374 69312 71117 75648 89832 103968 113472 119776 134748 138624 142234 179664 207936 213351 226944 239552 269496 284468 359328 415872 426702 479104 538992 568936 640053 718656 853404 1077984 1137872 1280106 1437312 1706808 2155968 2275744 2560212 3413616 4311936 4551488 5120424 6827232 9102976 10240848 13654464 20481696 27308928 40963392 81926784