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82060416 = 273271233
BaseRepresentation
bin1001110010000…
…10010010000000
312201102002201200
410321002102000
5132001413131
612050501200
72014334124
oct471022200
9181362650
1082060416
1142359229
1223594800
1314002179
14ac81584
15730e2e6
hex4e42480

82060416 has 48 divisors (see below), whose sum is σ = 236140710. Its totient is φ = 27353088.

The previous prime is 82060387. The next prime is 82060417. The reversal of 82060416 is 61406028.

It can be written as a sum of positive squares in only one way, i.e., 62346816 + 19713600 = 7896^2 + 4440^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 82060416.

It is not an unprimeable number, because it can be changed into a prime (82060417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34465 + ... + 36768.

Almost surely, 282060416 is an apocalyptic number.

It is an amenable number.

82060416 is an abundant number, since it is smaller than the sum of its proper divisors (154080294).

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

82060416 is a wasteful number, since it uses less digits than its factorization.

82060416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71253 (or 71238 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 82060416 is about 9058.7204394440. The cubic root of 82060416 is about 434.5548200229.

The spelling of 82060416 in words is "eighty-two million, sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 71233 142466 213699 284932 427398 569864 641097 854796 1139728 1282194 1709592 2279456 2564388 3419184 4558912 5128776 6838368 9117824 10257552 13676736 20515104 27353472 41030208 82060416