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82364442 = 2337577643
BaseRepresentation
bin1001110100011…
…00100000011010
312201222112202220
410322030200122
5132041130232
612101204510
72020041366
oct472144032
9181875686
1082364442
1142546696
1223700736
13140aa674
14ad202a6
15736e42c
hex4e8c81a

82364442 has 32 divisors (see below), whose sum is σ = 169737792. Its totient is φ = 26625024.

The previous prime is 82364417. The next prime is 82364501. The reversal of 82364442 is 24446328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127773 + ... + 128415.

It is an arithmetic number, because the mean of its divisors is an integer number (5304306).

Almost surely, 282364442 is an apocalyptic number.

82364442 is an abundant number, since it is smaller than the sum of its proper divisors (87373350).

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

82364442 is a wasteful number, since it uses less digits than its factorization.

82364442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262.

The product of its digits is 36864, while the sum is 33.

The square root of 82364442 is about 9075.4857721226. The cubic root of 82364442 is about 435.0908199855.

It can be divided in two parts, 823644 and 42, that added together give a triangular number (823686 = T1283).

The spelling of 82364442 in words is "eighty-two million, three hundred sixty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 37 74 111 222 577 643 1154 1286 1731 1929 3462 3858 21349 23791 42698 47582 64047 71373 128094 142746 371011 742022 1113033 2226066 13727407 27454814 41182221 82364442