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81466788 = 223132172139
BaseRepresentation
bin1001101101100…
…01010110100100
312200021221102110
410312301112210
5131323414123
612030041020
72006312334
oct466612644
9180257373
1081466788
1141a93227
1223349170
1313b54c00
14ab690c4
157243493
hex4db15a4

81466788 has 108 divisors (see below), whose sum is σ = 220229520. Its totient is φ = 23422464.

The previous prime is 81466783. The next prime is 81466799. The reversal of 81466788 is 88766418.

It is not an unprimeable number, because it can be changed into a prime (81466783) 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 35 ways as a sum of consecutive naturals, for example, 586023 + ... + 586161.

Almost surely, 281466788 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 81466788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110114760).

81466788 is an abundant number, since it is smaller than the sum of its proper divisors (138762732).

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

81466788 is a wasteful number, since it uses less digits than its factorization.

81466788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 174 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 81466788 is about 9025.8954126447. The cubic root of 81466788 is about 433.5044213313.

The spelling of 81466788 in words is "eighty-one million, four hundred sixty-six thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 139 156 169 204 221 278 289 338 417 442 507 556 578 663 676 834 867 884 1014 1156 1326 1668 1734 1807 2028 2363 2652 2873 3468 3614 3757 4726 5421 5746 7089 7228 7514 8619 9452 10842 11271 11492 14178 15028 17238 21684 22542 23491 28356 30719 34476 40171 45084 46982 48841 61438 70473 80342 92157 93964 97682 120513 122876 140946 146523 160684 184314 195364 241026 281892 293046 368628 399347 482052 522223 586092 798694 1044446 1198041 1566669 1597388 2088892 2396082 3133338 4792164 6266676 6788899 13577798 20366697 27155596 40733394 81466788