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82433820 = 22357196271
BaseRepresentation
bin1001110100111…
…01011100011100
312202010001221110
410322131130130
5132100340240
612102502020
72020450560
oct472353434
9182101843
1082433820
1142593827
1223734910
1314103111
14ad3b6a0
157384c80
hex4e9d71c

82433820 has 48 divisors (see below), whose sum is σ = 263789568. Its totient is φ = 18841920.

The previous prime is 82433807. The next prime is 82433831. The reversal of 82433820 is 2833428.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97716 + ... + 98555.

It is an arithmetic number, because the mean of its divisors is an integer number (5495616).

Almost surely, 282433820 is an apocalyptic number.

It is an amenable number.

82433820 is an abundant number, since it is smaller than the sum of its proper divisors (181355748).

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

82433820 is a wasteful number, since it uses less digits than its factorization.

82433820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196290 (or 196288 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 82433820 is about 9079.3072422955. The cubic root of 82433820 is about 435.2129489799.

The spelling of 82433820 in words is "eighty-two million, four hundred thirty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 196271 392542 588813 785084 981355 1177626 1373897 1962710 2355252 2747794 2944065 3925420 4121691 5495588 5888130 6869485 8243382 11776260 13738970 16486764 20608455 27477940 41216910 82433820