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81956448 = 253474517
BaseRepresentation
bin1001110001010…
…00111001100000
312201012211010000
410320220321200
5131440101243
612044340000
72013422040
oct470507140
9181184100
1081956448
1142298102
1223544600
1313c96a52
14ac55720
1572dd5d3
hex4e28e60

81956448 has 120 divisors (see below), whose sum is σ = 275525712. Its totient is φ = 23410944.

The previous prime is 81956411. The next prime is 81956449. The reversal of 81956448 is 84465918.

81956448 is a `hidden beast` number, since 81 + 9 + 564 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81956449) 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 19 ways as a sum of consecutive naturals, for example, 15886 + ... + 20402.

Almost surely, 281956448 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 81956448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137762856).

81956448 is an abundant number, since it is smaller than the sum of its proper divisors (193569264).

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

81956448 is a wasteful number, since it uses less digits than its factorization.

81956448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4529 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 81956448 is about 9052.9800618360. The cubic root of 81956448 is about 434.3712199730.

The spelling of 81956448 in words is "eighty-one million, nine hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4517 4536 6048 9034 9072 13551 18068 18144 27102 31619 36136 40653 54204 63238 72272 81306 94857 108408 121959 126476 144544 162612 189714 216816 243918 252952 284571 325224 365877 379428 433632 487836 505904 569142 650448 731754 758856 853713 975672 1011808 1138284 1300896 1463508 1517712 1707426 1951344 2276568 2561139 2927016 3035424 3414852 3902688 4553136 5122278 5854032 6829704 9106272 10244556 11708064 13659408 20489112 27318816 40978224 81956448