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82078434 = 2341034919
BaseRepresentation
bin1001110010001…
…10101011100010
312201110000110000
410321012223202
5132003002214
612051120430
72014440504
oct471065342
9181400400
1082078434
1142370819
12235a3116
131400a429
14ac87d74
157314809
hex4e46ae2

82078434 has 40 divisors (see below), whose sum is σ = 185739840. Its totient is φ = 27088344.

The previous prime is 82078429. The next prime is 82078457. The reversal of 82078434 is 43487028.

It is a Curzon number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 14227 + ... + 19145.

It is an arithmetic number, because the mean of its divisors is an integer number (4643496).

Almost surely, 282078434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82078434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92869920).

82078434 is an abundant number, since it is smaller than the sum of its proper divisors (103661406).

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

82078434 is a wasteful number, since it uses less digits than its factorization.

82078434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 82078434 is about 9059.7148961764. The cubic root of 82078434 is about 434.5866227529.

It can be divided in two parts, 8207 and 8434, that added together give a square (16641 = 1292).

The spelling of 82078434 in words is "eighty-two million, seventy-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 309 618 927 1854 2781 4919 5562 8343 9838 14757 16686 29514 44271 88542 132813 265626 398439 506657 796878 1013314 1519971 3039942 4559913 9119826 13679739 27359478 41039217 82078434