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81894912 = 2931137131
BaseRepresentation
bin1001110000110…
…01111000000000
312201002200200220
410320121320000
5131431114122
612043143040
72013044451
oct470317000
9181080626
1081894912
1142255950
1223514a80
1313c74a38
14ac3b128
1572ca25c
hex4e19e00

81894912 has 160 divisors (see below), whose sum is σ = 246305664. Its totient is φ = 23961600.

The previous prime is 81894893. The next prime is 81894937. The reversal of 81894912 is 21949818.

It is a super-2 number, since 2×818949122 = 13413553222975488, which contains 22 as substring.

It is a congruent number.

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, 625087 + ... + 625217.

Almost surely, 281894912 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 81894912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123152832).

81894912 is an abundant number, since it is smaller than the sum of its proper divisors (164410752).

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

81894912 is a wasteful number, since it uses less digits than its factorization.

81894912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The square root of 81894912 is about 9049.5807637702. The cubic root of 81894912 is about 434.2624786408.

The spelling of 81894912 in words is "eighty-one million, eight hundred ninety-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 131 132 148 176 192 222 256 262 264 296 352 384 393 407 444 512 524 528 592 704 768 786 814 888 1048 1056 1184 1221 1408 1441 1536 1572 1628 1776 2096 2112 2368 2442 2816 2882 3144 3256 3552 4192 4224 4323 4736 4847 4884 5632 5764 6288 6512 7104 8384 8448 8646 9472 9694 9768 11528 12576 13024 14208 14541 16768 16896 17292 18944 19388 19536 23056 25152 26048 28416 29082 33536 34584 38776 39072 46112 50304 52096 53317 56832 58164 67072 69168 77552 78144 92224 100608 104192 106634 116328 138336 155104 156288 159951 184448 201216 208384 213268 232656 276672 310208 312576 319902 368896 426536 465312 553344 620416 625152 639804 737792 853072 930624 1106688 1240832 1279608 1706144 1861248 2213376 2481664 2559216 3412288 3722496 5118432 6824576 7444992 10236864 13649152 20473728 27298304 40947456 81894912