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83934648 = 23327237643
BaseRepresentation
bin1010000000010…
…11110110111000
312211221022200200
411000023312320
5132441402043
612155002200
72036301300
oct500136670
9184838620
1083934648
1143419386
1224139360
131450a295
14b20c600
15757e7d3
hex500bdb8

83934648 has 144 divisors (see below), whose sum is σ = 272006280. Its totient is φ = 23296896.

The previous prime is 83934637. The next prime is 83934689. The reversal of 83934648 is 84643938.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130215 + ... + 130857.

Almost surely, 283934648 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 83934648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136003140).

83934648 is an abundant number, since it is smaller than the sum of its proper divisors (188071632).

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

83934648 is a wasteful number, since it uses less digits than its factorization.

83934648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 692 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 83934648 is about 9161.5854523112. The cubic root of 83934648 is about 437.8383089924.

It can be divided in two parts, 8393 and 4648, that added together give a triangular number (13041 = T161).

The spelling of 83934648 in words is "eighty-three million, nine hundred thirty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 49 56 63 72 74 84 98 111 126 147 148 168 196 222 252 259 294 296 333 392 441 444 504 518 588 643 666 777 882 888 1036 1176 1286 1332 1554 1764 1813 1929 2072 2331 2572 2664 3108 3528 3626 3858 4501 4662 5144 5439 5787 6216 7252 7716 9002 9324 10878 11574 13503 14504 15432 16317 18004 18648 21756 23148 23791 27006 31507 32634 36008 40509 43512 46296 47582 54012 63014 65268 71373 81018 94521 95164 108024 126028 130536 142746 162036 166537 189042 190328 214119 252056 283563 285492 324072 333074 378084 428238 499611 567126 570984 666148 756168 856476 999222 1134252 1165759 1332296 1498833 1712952 1998444 2268504 2331518 2997666 3497277 3996888 4663036 5995332 6994554 9326072 10491831 11990664 13989108 20983662 27978216 41967324 83934648