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82669952 = 272922271
BaseRepresentation
bin1001110110101…
…11000110000000
312202120001212002
410323113012000
5132130414302
612111523132
72022453161
oct473270600
9182501762
1082669952
1142735182
12238294a8
1314186741
14ad9d768
1573cec02
hex4ed7180

82669952 has 32 divisors (see below), whose sum is σ = 170380800. Its totient is φ = 39907840.

The previous prime is 82669949. The next prime is 82669987. The reversal of 82669952 is 25996628.

It is a happy number.

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 = 82669897 and 82669906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7424 + ... + 14847.

It is an arithmetic number, because the mean of its divisors is an integer number (5324400).

Almost surely, 282669952 is an apocalyptic number.

82669952 is the 7424-th pentagonal number.

It is an amenable number.

82669952 is an abundant number, since it is smaller than the sum of its proper divisors (87710848).

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

82669952 is a wasteful number, since it uses less digits than its factorization.

82669952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22314 (or 22302 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The square root of 82669952 is about 9092.3017987746. The cubic root of 82669952 is about 435.6281092210.

The spelling of 82669952 in words is "eighty-two million, six hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 22271 44542 89084 178168 356336 645859 712672 1291718 1425344 2583436 2850688 5166872 10333744 20667488 41334976 82669952