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82014948 = 223211320161
BaseRepresentation
bin1001110001101…
…11001011100100
312201022210100200
410320313023210
5131443434243
612045510500
72014054431
oct470671344
9181283320
1082014948
1142328054
1223572430
1313cb7572
14ac6cb88
157300ad3
hex4e372e4

82014948 has 36 divisors (see below), whose sum is σ = 209160588. Its totient is φ = 27095040.

The previous prime is 82014943. The next prime is 82014967. The reversal of 82014948 is 84941028.

It can be written as a sum of positive squares in 2 ways, for example, as 21455424 + 60559524 = 4632^2 + 7782^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (82014943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6013 + ... + 14148.

Almost surely, 282014948 is an apocalyptic number.

It is an amenable number.

82014948 is an abundant number, since it is smaller than the sum of its proper divisors (127145640).

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

82014948 is a wasteful number, since it uses less digits than its factorization.

82014948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20284 (or 20279 counting only the distinct ones).

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

The square root of 82014948 is about 9056.2104657522. The cubic root of 82014948 is about 434.4745458791.

The spelling of 82014948 in words is "eighty-two million, fourteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 20161 40322 60483 80644 120966 181449 241932 362898 725796 2278193 4556386 6834579 9112772 13669158 20503737 27338316 41007474 82014948