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81121536 = 2832137257
BaseRepresentation
bin1001101010111…
…01000100000000
312122122101211100
410311131010000
5131231342121
612014414400
72003343636
oct465350400
9178571740
1081121536
11418778a1
1223201400
1313a63a12
14aab9356
1571c6026
hex4d5d100

81121536 has 108 divisors (see below), whose sum is σ = 236517372. Its totient is φ = 26738688.

The previous prime is 81121499. The next prime is 81121541. The reversal of 81121536 is 63512118.

81121536 is a `hidden beast` number, since 8 + 1 + 121 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68161536 + 12960000 = 8256^2 + 3600^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315520 + ... + 315776.

Almost surely, 281121536 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 81121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118258686).

81121536 is an abundant number, since it is smaller than the sum of its proper divisors (155395836).

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

81121536 is a wasteful number, since it uses less digits than its factorization.

81121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 399 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 81121536 is about 9006.7494691481. The cubic root of 81121536 is about 432.8911644851.

The spelling of 81121536 in words is "eighty-one million, one hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 257 274 288 384 411 514 548 576 768 771 822 1028 1096 1152 1233 1542 1644 2056 2192 2304 2313 2466 3084 3288 4112 4384 4626 4932 6168 6576 8224 8768 9252 9864 12336 13152 16448 17536 18504 19728 24672 26304 32896 35072 35209 37008 39456 49344 52608 65792 70418 74016 78912 98688 105216 105627 140836 148032 157824 197376 211254 281672 296064 315648 316881 422508 563344 592128 633762 845016 1126688 1267524 1690032 2253376 2535048 3380064 4506752 5070096 6760128 9013504 10140192 13520256 20280384 27040512 40560768 81121536