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81451488 = 25317291721
BaseRepresentation
bin1001101101011…
…01100111100000
312200021011102210
410312231213200
5131322421423
612025442120
72006216616
oct466554740
9180234383
1081451488
1141a82788
1223340340
1313b4ac61
14ab636b6
15723db93
hex4dad9e0

81451488 has 96 divisors (see below), whose sum is σ = 234329760. Its totient is φ = 24657920.

The previous prime is 81451483. The next prime is 81451501. The reversal of 81451488 is 88415418.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81451481) 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, 46468 + ... + 48188.

It is an arithmetic number, because the mean of its divisors is an integer number (2440935).

Almost surely, 281451488 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 81451488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117164880).

81451488 is an abundant number, since it is smaller than the sum of its proper divisors (152878272).

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

81451488 is a wasteful number, since it uses less digits than its factorization.

81451488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1772 counting only the distinct ones).

The product of its digits is 40960, while the sum is 39.

The square root of 81451488 is about 9025.0478115077. The cubic root of 81451488 is about 433.4772813025.

The spelling of 81451488 in words is "eighty-one million, four hundred fifty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 272 348 408 464 493 544 696 816 928 986 1392 1479 1632 1721 1972 2784 2958 3442 3944 5163 5916 6884 7888 10326 11832 13768 15776 20652 23664 27536 29257 41304 47328 49909 55072 58514 82608 87771 99818 117028 149727 165216 175542 199636 234056 299454 351084 399272 468112 598908 702168 798544 848453 936224 1197816 1404336 1597088 1696906 2395632 2545359 2808672 3393812 4791264 5090718 6787624 10181436 13575248 20362872 27150496 40725744 81451488