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83481084 = 223317411109
BaseRepresentation
bin1001111100111…
…01000111111100
312211002021112000
410332131013330
5132332343314
612141142300
72032402041
oct476350774
9184067460
1083481084
1143139635
1223b5a990
13143ab9bb
14b1311c8
1574e0209
hex4f9d1fc

83481084 has 96 divisors (see below), whose sum is σ = 234964800. Its totient is φ = 25528320.

The previous prime is 83481049. The next prime is 83481091. The reversal of 83481084 is 48018438.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74722 + ... + 75830.

It is an arithmetic number, because the mean of its divisors is an integer number (2447550).

Almost surely, 283481084 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 83481084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117482400).

83481084 is an abundant number, since it is smaller than the sum of its proper divisors (151483716).

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

83481084 is a wasteful number, since it uses less digits than its factorization.

83481084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 83481084 is about 9136.7983451535. The cubic root of 83481084 is about 437.0482241464.

It can be divided in two parts, 834 and 81084, that added together give a palindrome (81918).

The spelling of 83481084 in words is "eighty-three million, four hundred eighty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 82 102 108 123 153 164 204 246 306 369 459 492 612 697 738 918 1107 1109 1394 1476 1836 2091 2214 2218 2788 3327 4182 4428 4436 6273 6654 8364 9981 12546 13308 18819 18853 19962 25092 29943 37638 37706 39924 45469 56559 59886 75276 75412 90938 113118 119772 136407 169677 181876 226236 272814 339354 409221 509031 545628 678708 772973 818442 1018062 1227663 1545946 1636884 2036124 2318919 2455326 3091892 4637838 4910652 6956757 9275676 13913514 20870271 27827028 41740542 83481084