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81425412 = 2235194409
BaseRepresentation
bin1001101101001…
…11010000000100
312200012211200000
410312213100010
5131321103122
612025121300
72006050605
oct466472004
9180184600
1081425412
1141a65132
1223329230
1313b3c123
14ab57dac
1572360ac
hex4da7404

81425412 has 72 divisors (see below), whose sum is σ = 224733600. Its totient is φ = 25707456.

The previous prime is 81425411. The next prime is 81425413. The reversal of 81425412 is 21452418.

81425412 is a `hidden beast` number, since 81 + 42 + 541 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (81425411) and next prime (81425413).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (81425411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16264 + ... + 20672.

It is an arithmetic number, because the mean of its divisors is an integer number (3121300).

Almost surely, 281425412 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 81425412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112366800).

81425412 is an abundant number, since it is smaller than the sum of its proper divisors (143308188).

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

81425412 is a wasteful number, since it uses less digits than its factorization.

81425412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4433 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 81425412 is about 9023.6030497801. The cubic root of 81425412 is about 433.4310183457.

The spelling of 81425412 in words is "eighty-one million, four hundred twenty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4409 4617 6156 8818 9234 13227 17636 18468 26454 39681 52908 79362 83771 119043 158724 167542 238086 251313 335084 357129 476172 502626 714258 753939 1005252 1071387 1428516 1507878 2142774 2261817 3015756 4285548 4523634 6785451 9047268 13570902 20356353 27141804 40712706 81425412