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81355008 = 283737409
BaseRepresentation
bin1001101100101…
…10000100000000
312200002021002110
410312112010000
5131311330013
612023415320
72005335420
oct466260400
9180067073
1081355008
1141a17249
12232b4540
1313b16077
14ab3a480
1572202c3
hex4d96100

81355008 has 144 divisors (see below), whose sum is σ = 254764160. Its totient is φ = 22560768.

The previous prime is 81355007. The next prime is 81355019. The reversal of 81355008 is 80055318.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (81355007) 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, 198708 + ... + 199116.

Almost surely, 281355008 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 81355008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127382080).

81355008 is an abundant number, since it is smaller than the sum of its proper divisors (173409152).

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

81355008 is a wasteful number, since it uses less digits than its factorization.

81355008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 81355008 is about 9019.7011036952. The cubic root of 81355008 is about 433.3060611370.

The spelling of 81355008 in words is "eighty-one million, three hundred fifty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 409 444 448 518 592 672 768 777 818 888 896 1036 1184 1227 1344 1554 1636 1776 1792 2072 2368 2454 2688 2863 3108 3272 3552 4144 4736 4908 5376 5726 6216 6544 7104 8288 8589 9472 9816 11452 12432 13088 14208 15133 16576 17178 19632 22904 24864 26176 28416 30266 33152 34356 39264 45399 45808 49728 52352 60532 66304 68712 78528 90798 91616 99456 104704 105931 121064 137424 157056 181596 183232 198912 211862 242128 274848 314112 317793 363192 366464 423724 484256 549696 635586 726384 732928 847448 968512 1099392 1271172 1452768 1694896 1937024 2198784 2542344 2905536 3389792 3874048 5084688 5811072 6779584 10169376 11622144 13559168 20338752 27118336 40677504 81355008