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82052380 = 22514712789
BaseRepresentation
bin1001110010000…
…00010100011100
312201101200201001
410321000110130
5132001134010
612050400044
72014301524
oct471002434
9181350631
1082052380
1142353193
1223590024
1313ccb607
14ac7c684
15730bc3a
hex4e4051c

82052380 has 24 divisors (see below), whose sum is σ = 172488960. Its totient is φ = 32786880.

The previous prime is 82052359. The next prime is 82052401. The reversal of 82052380 is 8325028.

It is an interprime number because it is at equal distance from previous prime (82052359) and next prime (82052401).

It is a super-3 number, since 3×820523803 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28026 + ... + 30814.

It is an arithmetic number, because the mean of its divisors is an integer number (7187040).

Almost surely, 282052380 is an apocalyptic number.

It is an amenable number.

82052380 is an abundant number, since it is smaller than the sum of its proper divisors (90436580).

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

82052380 is a wasteful number, since it uses less digits than its factorization.

82052380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 82052380 is about 9058.2768780823. The cubic root of 82052380 is about 434.5406345537.

It can be divided in two parts, 8205 and 2380, that added together give a triangular number (10585 = T145).

The spelling of 82052380 in words is "eighty-two million, fifty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 1471 2789 2942 5578 5884 7355 11156 13945 14710 27890 29420 55780 4102619 8205238 16410476 20513095 41026190 82052380