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81773568 = 2103219467
BaseRepresentation
bin1001101111111…
…00010000000000
312200212112020200
410313330100000
5131413223233
612040405200
72012030622
oct467742000
9180775220
1081773568
1142182768
1223476800
1313c31736
14ac08c12
1572a4313
hex4dfc400

81773568 has 132 divisors (see below), whose sum is σ = 249078960. Its totient is φ = 25767936.

The previous prime is 81773551. The next prime is 81773569. The reversal of 81773568 is 86537718.

81773568 is a `hidden beast` number, since 8 + 17 + 73 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (81773569) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 174871 + ... + 175337.

Almost surely, 281773568 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 81773568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124539480).

81773568 is an abundant number, since it is smaller than the sum of its proper divisors (167305392).

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

81773568 is a wasteful number, since it uses less digits than its factorization.

81773568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 491 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 81773568 is about 9042.8738794700. The cubic root of 81773568 is about 434.0478898360.

The spelling of 81773568 in words is "eighty-one million, seven hundred seventy-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 467 512 576 608 684 768 912 934 1024 1152 1216 1368 1401 1536 1824 1868 2304 2432 2736 2802 3072 3648 3736 4203 4608 4864 5472 5604 7296 7472 8406 8873 9216 9728 10944 11208 14592 14944 16812 17746 19456 21888 22416 26619 29184 29888 33624 35492 43776 44832 53238 58368 59776 67248 70984 79857 87552 89664 106476 119552 134496 141968 159714 175104 179328 212952 239104 268992 283936 319428 358656 425904 478208 537984 567872 638856 717312 851808 1075968 1135744 1277712 1434624 1703616 2151936 2271488 2555424 3407232 4303872 4542976 5110848 6814464 9085952 10221696 13628928 20443392 27257856 40886784 81773568