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81118464 = 283779191
BaseRepresentation
bin1001101010111…
…00010100000000
312122122020121120
410311130110000
5131231242324
612014352240
72003331660
oct465342400
9178566546
1081118464
1141875559
12231bb680
1313a624bb
14aab81a0
1571c5179
hex4d5c500

81118464 has 144 divisors (see below), whose sum is σ = 251166720. Its totient is φ = 22763520.

The previous prime is 81118463. The next prime is 81118469. The reversal of 81118464 is 46481118.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81118463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424609 + ... + 424799.

Almost surely, 281118464 is an apocalyptic number.

81118464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81118464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125583360).

81118464 is an abundant number, since it is smaller than the sum of its proper divisors (170048256).

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

81118464 is a wasteful number, since it uses less digits than its factorization.

81118464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 81118464 is about 9006.5789287609. The cubic root of 81118464 is about 432.8857000157.

The spelling of 81118464 in words is "eighty-one million, one hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 191 192 224 237 256 316 336 382 384 448 474 553 573 632 672 764 768 896 948 1106 1146 1264 1337 1344 1528 1659 1792 1896 2212 2292 2528 2674 2688 3056 3318 3792 4011 4424 4584 5056 5348 5376 6112 6636 7584 8022 8848 9168 10112 10696 12224 13272 15089 15168 16044 17696 18336 20224 21392 24448 26544 30178 30336 32088 35392 36672 42784 45267 48896 53088 60356 60672 64176 70784 73344 85568 90534 105623 106176 120712 128352 141568 146688 171136 181068 211246 212352 241424 256704 316869 342272 362136 422492 424704 482848 513408 633738 724272 844984 965696 1026816 1267476 1448544 1689968 1931392 2534952 2897088 3379936 3862784 5069904 5794176 6759872 10139808 11588352 13519744 20279616 27039488 40559232 81118464