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82003698 = 2337401541
BaseRepresentation
bin1001110001101…
…00011011110010
312201022012221000
410320310123302
5131443104243
612045342430
72014006560
oct470643362
9181265830
1082003698
114231a657
1223567a16
1313cb23ca
14ac68a30
1572ec5d3
hex4e346f2

82003698 has 64 divisors (see below), whose sum is σ = 209168640. Its totient is φ = 23328000.

The previous prime is 82003693. The next prime is 82003723. The reversal of 82003698 is 89630028.

It is not an unprimeable number, because it can be changed into a prime (82003693) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151308 + ... + 151848.

It is an arithmetic number, because the mean of its divisors is an integer number (3268260).

Almost surely, 282003698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82003698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104584320).

82003698 is an abundant number, since it is smaller than the sum of its proper divisors (127164942).

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

82003698 is a wasteful number, since it uses less digits than its factorization.

82003698 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 82003698 is about 9055.5893237271. The cubic root of 82003698 is about 434.4546793293.

The spelling of 82003698 in words is "eighty-two million, three thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 401 541 802 1082 1203 1623 2406 2807 3246 3609 3787 4869 5614 7218 7574 8421 9738 10827 11361 14607 16842 21654 22722 25263 29214 34083 50526 68166 75789 102249 151578 204498 216941 433882 650823 1301646 1518587 1952469 3037174 3904938 4555761 5857407 9111522 11714814 13667283 27334566 41001849 82003698