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81153436 = 227131131973
BaseRepresentation
bin1001101011001…
…00110110011100
312122201000120211
410311210312130
5131233402221
612015222204
72003535640
oct465446634
9178630524
1081153436
1141899861
1223217964
1313a753b0
14aac6c20
1571d06e1
hex4d64d9c

81153436 has 48 divisors (see below), whose sum is σ = 176428224. Its totient is φ = 31804416.

The previous prime is 81153431. The next prime is 81153437. The reversal of 81153436 is 63435118.

81153436 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

81153436 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 81153398 and 81153407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81153431) 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, 40146 + ... + 42118.

It is an arithmetic number, because the mean of its divisors is an integer number (3675588).

Almost surely, 281153436 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 81153436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88214112).

81153436 is an abundant number, since it is smaller than the sum of its proper divisors (95274788).

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

81153436 is a wasteful number, since it uses less digits than its factorization.

81153436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2108 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 81153436 is about 9008.5201892431. The cubic root of 81153436 is about 432.9479000086.

The spelling of 81153436 in words is "eighty-one million, one hundred fifty-three thousand, four hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 113 182 226 364 452 791 1469 1582 1973 2938 3164 3946 5876 7892 10283 13811 20566 25649 27622 41132 51298 55244 102596 179543 222949 359086 445898 718172 891796 1560643 2898337 3121286 5796674 6242572 11593348 20288359 40576718 81153436