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82073973 = 3297312923
BaseRepresentation
bin1001110010001…
…01100101110101
312201102210022210
410321011211311
5132002331343
612051044033
72014421502
oct471054565
9181383283
1082073973
1142368433
12235a0619
13140083a7
14ac864a9
157313333
hex4e45975

82073973 has 16 divisors (see below), whose sum is σ = 114765120. Its totient is φ = 52101504.

The previous prime is 82073963. The next prime is 82073983. The reversal of 82073973 is 37937028.

It is an interprime number because it is at equal distance from previous prime (82073963) and next prime (82073983).

It is not a de Polignac number, because 82073973 - 212 = 82069877 is a prime.

It is a super-2 number, since 2×820739732 = 13472274088009458, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82073903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111 + ... + 12812.

It is an arithmetic number, because the mean of its divisors is an integer number (7172820).

Almost surely, 282073973 is an apocalyptic number.

It is an amenable number.

82073973 is a deficient number, since it is larger than the sum of its proper divisors (32691147).

82073973 is a wasteful number, since it uses less digits than its factorization.

82073973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13028.

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 82073973 is about 9059.4686930305. The cubic root of 82073973 is about 434.5787492838.

The spelling of 82073973 in words is "eighty-two million, seventy-three thousand, nine hundred seventy-three".

Divisors: 1 3 29 73 87 219 2117 6351 12923 38769 374767 943379 1124301 2830137 27357991 82073973