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81042336 = 253397967
BaseRepresentation
bin1001101010010…
…01101110100000
312122111101012000
410311021232200
5131221323321
612013004000
72002564014
oct465115640
9178441160
1081042336
1141823341
1223183600
1313a3695b
14aa98544
1571ac826
hex4d49ba0

81042336 has 96 divisors (see below), whose sum is σ = 239057280. Its totient is φ = 26707968.

The previous prime is 81042323. The next prime is 81042361. The reversal of 81042336 is 63324018.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83325 + ... + 84291.

It is an arithmetic number, because the mean of its divisors is an integer number (2490180).

Almost surely, 281042336 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 81042336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119528640).

81042336 is an abundant number, since it is smaller than the sum of its proper divisors (158014944).

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

81042336 is a wasteful number, since it uses less digits than its factorization.

81042336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 81042336 is about 9002.3516927523. The cubic root of 81042336 is about 432.7502395404.

It can be divided in two parts, 8104 and 2336, that added together give a triangular number (10440 = T144).

The spelling of 81042336 in words is "eighty-one million, forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 97 108 144 194 216 288 291 388 432 582 776 864 873 967 1164 1552 1746 1934 2328 2619 2901 3104 3492 3868 4656 5238 5802 6984 7736 8703 9312 10476 11604 13968 15472 17406 20952 23208 26109 27936 30944 34812 41904 46416 52218 69624 83808 92832 93799 104436 139248 187598 208872 278496 281397 375196 417744 562794 750392 835488 844191 1125588 1500784 1688382 2251176 2532573 3001568 3376764 4502352 5065146 6753528 9004704 10130292 13507056 20260584 27014112 40521168 81042336