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82483408 = 2471983467
BaseRepresentation
bin1001110101010…
…01100011010000
312202012120222001
410322221203100
5132103432113
612103523344
72021045260
oct472514320
9182176861
1082483408
1142618007
1223759554
131411c867
14ad517a0
1573947dd
hex4ea98d0

82483408 has 80 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 33015168.

The previous prime is 82483403. The next prime is 82483421. The reversal of 82483408 is 80438428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82483403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176391 + ... + 176857.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 282483408 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 82483408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

82483408 is an abundant number, since it is smaller than the sum of its proper divisors (112504112).

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

82483408 is a wasteful number, since it uses less digits than its factorization.

82483408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 82483408 is about 9082.0376568257. The cubic root of 82483408 is about 435.3001988237.

The spelling of 82483408 in words is "eighty-two million, four hundred eighty-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 83 112 133 152 166 266 304 332 467 532 581 664 934 1064 1162 1328 1577 1868 2128 2324 3154 3269 3736 4648 6308 6538 7472 8873 9296 11039 12616 13076 17746 22078 25232 26152 35492 38761 44156 52304 62111 70984 77522 88312 124222 141968 155044 176624 248444 271327 310088 496888 542654 620176 736459 993776 1085308 1472918 2170616 2945836 4341232 5155213 5891672 10310426 11783344 20620852 41241704 82483408