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81419392 = 271723171
BaseRepresentation
bin1001101101001…
…01110010000000
312200012112102001
410312211302000
5131320410032
612025033344
72006024215
oct466456200
9180175361
1081419392
1141a6065a
1223325854
1313b39472
14ab55b0c
1572343e7
hex4da5c80

81419392 has 96 divisors (see below), whose sum is σ = 180368640. Its totient is φ = 36556800.

The previous prime is 81419363. The next prime is 81419407. The reversal of 81419392 is 29391418.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1146717 + ... + 1146787.

It is an arithmetic number, because the mean of its divisors is an integer number (1878840).

Almost surely, 281419392 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 81419392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90184320).

81419392 is an abundant number, since it is smaller than the sum of its proper divisors (98949248).

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

81419392 is a wasteful number, since it uses less digits than its factorization.

81419392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The square root of 81419392 is about 9023.2694739767. The cubic root of 81419392 is about 433.4203365083.

The spelling of 81419392 in words is "eighty-one million, four hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 71 124 128 136 142 248 272 284 289 496 527 544 568 578 992 1054 1088 1136 1156 1207 1984 2108 2176 2201 2272 2312 2414 3968 4216 4402 4544 4624 4828 8432 8804 8959 9088 9248 9656 16864 17608 17918 18496 19312 20519 33728 35216 35836 36992 37417 38624 41038 67456 70432 71672 74834 77248 82076 140864 143344 149668 154496 164152 281728 286688 299336 328304 573376 598672 636089 656608 1146752 1197344 1272178 1313216 2394688 2544356 2626432 4789376 5088712 10177424 20354848 40709696 81419392