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82126417 = 192227497
BaseRepresentation
bin1001110010100…
…10011001010001
312201112110021011
410321102121101
5132011021132
612052130521
72015030422
oct471223121
9181473234
1082126417
11423a387a
1223606a41
1314026219
14ac9b649
157323b47
hex4e52651

82126417 has 6 divisors (see below), whose sum is σ = 86676738. Its totient is φ = 77803632.

The previous prime is 82126393. The next prime is 82126423. The reversal of 82126417 is 71462128.

It can be written as a sum of positive squares in only one way, i.e., 54626881 + 27499536 = 7391^2 + 5244^2 .

It is a de Polignac number, because none of the positive numbers 2k-82126417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82126427) 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, 113388 + ... + 114109.

It is an arithmetic number, because the mean of its divisors is an integer number (14446123).

Almost surely, 282126417 is an apocalyptic number.

It is an amenable number.

82126417 is a deficient number, since it is larger than the sum of its proper divisors (4550321).

82126417 is a wasteful number, since it uses less digits than its factorization.

82126417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227535 (or 227516 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 82126417 is about 9062.3626610283. The cubic root of 82126417 is about 434.6712926096.

The spelling of 82126417 in words is "eighty-two million, one hundred twenty-six thousand, four hundred seventeen".

Divisors: 1 19 361 227497 4322443 82126417