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81480924 = 22337289173
BaseRepresentation
bin1001101101101…
…00110011011100
312200022122211000
410312310303130
5131324342144
612030230300
72006401500
oct466646334
9180278730
1081480924
1141aa2908
1223355390
1313b5b485
14ab70300
157247769
hex4db4cdc

81480924 has 144 divisors (see below), whose sum is σ = 249933600. Its totient is φ = 22885632.

The previous prime is 81480913. The next prime is 81480937. The reversal of 81480924 is 42908418.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470902 + ... + 471074.

It is an arithmetic number, because the mean of its divisors is an integer number (1735650).

Almost surely, 281480924 is an apocalyptic number.

81480924 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81480924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124966800).

81480924 is an abundant number, since it is smaller than the sum of its proper divisors (168452676).

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

81480924 is a wasteful number, since it uses less digits than its factorization.

81480924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 81480924 is about 9026.6784588795. The cubic root of 81480924 is about 433.5294935693.

The spelling of 81480924 in words is "eighty-one million, four hundred eighty thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 89 98 108 126 147 173 178 189 196 252 267 294 346 356 378 441 519 534 588 623 692 756 801 882 1038 1068 1211 1246 1323 1557 1602 1764 1869 2076 2403 2422 2492 2646 3114 3204 3633 3738 4361 4671 4806 4844 5292 5607 6228 7266 7476 8477 8722 9342 9612 10899 11214 13083 14532 15397 16821 16954 17444 18684 21798 22428 25431 26166 30794 32697 33642 33908 39249 43596 46191 50862 52332 61588 65394 67284 76293 78498 92382 101724 107779 117747 130788 138573 152586 156996 184764 215558 228879 235494 277146 305172 323337 415719 431116 457758 470988 554292 646674 754453 831438 915516 970011 1293348 1508906 1662876 1940022 2263359 2910033 3017812 3880044 4526718 5820066 6790077 9053436 11640132 13580154 20370231 27160308 40740462 81480924