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81927936 = 2836439
BaseRepresentation
bin1001110001000…
…01111100000000
312201011101000000
410320201330000
5131433143221
612044000000
72013242646
oct470417400
9181141000
1081927936
1142278742
1223530000
1313c86a8c
14ac49196
1572d4e26
hex4e21f00

81927936 has 126 divisors (see below), whose sum is σ = 245750120. Its totient is φ = 27247104.

The previous prime is 81927917. The next prime is 81927959. The reversal of 81927936 is 63972918.

It is a junction number, because it is equal to n+sod(n) for n = 81927891 and 81927900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186405 + ... + 186843.

Almost surely, 281927936 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 81927936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122875060).

81927936 is an abundant number, since it is smaller than the sum of its proper divisors (163822184).

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

81927936 is an frugal number, since it uses more digits than its factorization.

81927936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 444 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 81927936 is about 9051.4051947750. The cubic root of 81927936 is about 434.3208426934.

The spelling of 81927936 in words is "eighty-one million, nine hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 439 486 576 648 729 768 864 878 972 1152 1296 1317 1458 1728 1756 1944 2304 2592 2634 2916 3456 3512 3888 3951 5184 5268 5832 6912 7024 7776 7902 10368 10536 11664 11853 14048 15552 15804 20736 21072 23328 23706 28096 31104 31608 35559 42144 46656 47412 56192 62208 63216 71118 84288 93312 94824 106677 112384 126432 142236 168576 186624 189648 213354 252864 284472 320031 337152 379296 426708 505728 568944 640062 758592 853416 1011456 1137888 1280124 1517184 1706832 2275776 2560248 3034368 3413664 4551552 5120496 6827328 9103104 10240992 13654656 20481984 27309312 40963968 81927936