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82791040 = 275129361
BaseRepresentation
bin1001110111101…
…00101010000000
312202210012221211
410323310222000
5132143303130
612114255504
72023466203
oct473645200
9182705854
1082791040
1142808152
1223887594
13141c98a7
14add193a
157405a2a
hex4ef4a80

82791040 has 32 divisors (see below), whose sum is σ = 197923860. Its totient is φ = 33116160.

The previous prime is 82791031. The next prime is 82791043. The reversal of 82791040 is 4019728.

It can be written as a sum of positive squares in 2 ways, for example, as 82737216 + 53824 = 9096^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 82790993 and 82791011.

It is not an unprimeable number, because it can be changed into a prime (82791043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64041 + ... + 65320.

Almost surely, 282791040 is an apocalyptic number.

82791040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82791040 is an abundant number, since it is smaller than the sum of its proper divisors (115132820).

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

82791040 is a wasteful number, since it uses less digits than its factorization.

82791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129380 (or 129368 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 82791040 is about 9098.9581821217. The cubic root of 82791040 is about 435.8406959464.

The spelling of 82791040 in words is "eighty-two million, seven hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 129361 258722 517444 646805 1034888 1293610 2069776 2587220 4139552 5174440 8279104 10348880 16558208 20697760 41395520 82791040