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82031052 = 223171512663
BaseRepresentation
bin1001110001110…
…11000111001100
312201100121110010
410320323013030
5131444443202
612050113220
72014152405
oct470730714
9181317403
1082031052
1142339164
122357b810
1313cc19ac
14ac749ac
15730576c
hex4e3b1cc

82031052 has 48 divisors (see below), whose sum is σ = 204083712. Its totient is φ = 25555200.

The previous prime is 82031039. The next prime is 82031071. The reversal of 82031052 is 25013028.

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, 29473 + ... + 32135.

It is an arithmetic number, because the mean of its divisors is an integer number (4251744).

Almost surely, 282031052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82031052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102041856).

82031052 is an abundant number, since it is smaller than the sum of its proper divisors (122052660).

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

82031052 is a wasteful number, since it uses less digits than its factorization.

82031052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 82031052 is about 9057.0995357233. The cubic root of 82031052 is about 434.5029810216.

The spelling of 82031052 in words is "eighty-two million, thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 151 204 302 453 604 906 1812 2567 2663 5134 5326 7701 7989 10268 10652 15402 15978 30804 31956 45271 90542 135813 181084 271626 402113 543252 804226 1206339 1608452 2412678 4825356 6835921 13671842 20507763 27343684 41015526 82031052