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81429432 = 23371014799
BaseRepresentation
bin1001101101010…
…00001110111000
312200020001011220
410312220032320
5131321220212
612025152040
72006065410
oct466501670
9180201156
1081429432
1141a68157
122332b620
1313b40bc6
14ab59640
15723738c
hex4da83b8

81429432 has 64 divisors (see below), whose sum is σ = 235008000. Its totient is φ = 23030400.

The previous prime is 81429409. The next prime is 81429437. The reversal of 81429432 is 23492418.

It is a junction number, because it is equal to n+sod(n) for n = 81429393 and 81429402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81429437) 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 15 ways as a sum of consecutive naturals, for example, 14569 + ... + 19367.

It is an arithmetic number, because the mean of its divisors is an integer number (3672000).

Almost surely, 281429432 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 81429432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117504000).

81429432 is an abundant number, since it is smaller than the sum of its proper divisors (153578568).

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

81429432 is a wasteful number, since it uses less digits than its factorization.

81429432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 4912 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 81429432 is about 9023.8257961909. The cubic root of 81429432 is about 433.4381511067.

The spelling of 81429432 in words is "eighty-one million, four hundred twenty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1414 2121 2424 2828 4242 4799 5656 8484 9598 14397 16968 19196 28794 33593 38392 57588 67186 100779 115176 134372 201558 268744 403116 484699 806232 969398 1454097 1938796 2908194 3392893 3877592 5816388 6785786 10178679 11632776 13571572 20357358 27143144 40714716 81429432