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81485712 = 24327117349
BaseRepresentation
bin1001101101101…
…01111110010000
312200022220101100
410312311332100
5131330020322
612030304400
72006421450
oct466657620
9180286340
1081485712
1141aa6470
1223358100
1313b606c9
14ab71d60
157248dac
hex4db5f90

81485712 has 120 divisors (see below), whose sum is σ = 284356800. Its totient is φ = 21162240.

The previous prime is 81485687. The next prime is 81485713. The reversal of 81485712 is 21758418.

81485712 is a `hidden beast` number, since 81 + 4 + 8 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (81485713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7414 + ... + 14762.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 281485712 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 81485712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178400).

81485712 is an abundant number, since it is smaller than the sum of its proper divisors (202871088).

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

81485712 is a wasteful number, since it uses less digits than its factorization.

81485712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7381 (or 7372 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 81485712 is about 9026.9436688173. The cubic root of 81485712 is about 433.5379851215.

The spelling of 81485712 in words is "eighty-one million, four hundred eighty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 7349 11088 14698 22047 29396 44094 51443 58792 66141 80839 88188 102886 117584 132282 154329 161678 176376 205772 242517 264564 308658 323356 352752 411544 462987 485034 529128 565873 617316 646712 727551 823088 925974 970068 1058256 1131746 1234632 1293424 1455102 1697619 1851948 1940136 2263492 2469264 2910204 3395238 3703896 3880272 4526984 5092857 5820408 6790476 7407792 9053968 10185714 11640816 13580952 20371428 27161904 40742856 81485712