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81475152 = 243111729313
BaseRepresentation
bin1001101101100…
…11011001010000
312200022100220020
410312303121100
5131324201102
612030143440
72006345613
oct466633120
9180270806
1081475152
1141a99540
1223351b80
1313b58965
14ab6c17a
157245bbc
hex4db3650

81475152 has 160 divisors (see below), whose sum is σ = 252305280. Its totient is φ = 22364160.

The previous prime is 81475129. The next prime is 81475157. The reversal of 81475152 is 25157418.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81475157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260148 + ... + 260460.

It is an arithmetic number, because the mean of its divisors is an integer number (1576908).

Almost surely, 281475152 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 81475152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126152640).

81475152 is an abundant number, since it is smaller than the sum of its proper divisors (170830128).

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

81475152 is a wasteful number, since it uses less digits than its factorization.

81475152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its digits is 11200, while the sum is 33.

The square root of 81475152 is about 9026.3587342848. The cubic root of 81475152 is about 433.5192564438.

The spelling of 81475152 in words is "eighty-one million, four hundred seventy-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 29 33 34 44 48 51 58 66 68 87 88 102 116 132 136 174 176 187 204 232 264 272 313 319 348 374 408 464 493 528 561 626 638 696 748 816 939 957 986 1122 1252 1276 1392 1479 1496 1878 1914 1972 2244 2504 2552 2958 2992 3443 3756 3828 3944 4488 5008 5104 5321 5423 5916 6886 7512 7656 7888 8976 9077 10329 10642 10846 11832 13772 15024 15312 15963 16269 18154 20658 21284 21692 23664 27231 27544 31926 32538 36308 41316 42568 43384 54462 55088 58531 63852 65076 72616 82632 85136 86768 99847 108924 117062 127704 130152 145232 154309 165264 175593 199694 217848 234124 255408 260304 299541 308618 351186 399388 435696 462927 468248 599082 617236 702372 798776 925854 936496 1198164 1234472 1404744 1597552 1697399 1851708 2396328 2468944 2809488 3394798 3703416 4792656 5092197 6789596 7406832 10184394 13579192 20368788 27158384 40737576 81475152