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83126550 = 23521347907
BaseRepresentation
bin1001111010001…
…10100100010110
312210102021012010
410331012210112
5132240022200
612125405050
72026364313
oct475064426
9183367163
1083126550
1142a17231
1223a09786
13142b6510
14b07bd0a
157470150
hex4f46916

83126550 has 96 divisors (see below), whose sum is σ = 226985472. Its totient is φ = 20004480.

The previous prime is 83126497. The next prime is 83126551. The reversal of 83126550 is 5562138.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83126551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91197 + ... + 92103.

It is an arithmetic number, because the mean of its divisors is an integer number (2364432).

Almost surely, 283126550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83126550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113492736).

83126550 is an abundant number, since it is smaller than the sum of its proper divisors (143858922).

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

83126550 is a wasteful number, since it uses less digits than its factorization.

83126550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 83126550 is about 9117.3762673260. The cubic root of 83126550 is about 436.4286493648.

Adding to 83126550 its reverse (5562138), we get a palindrome (88688688).

The spelling of 83126550 in words is "eighty-three million, one hundred twenty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 47 50 65 75 78 94 130 141 150 195 235 282 325 390 470 611 650 705 907 975 1175 1222 1410 1814 1833 1950 2350 2721 3055 3525 3666 4535 5442 6110 7050 9070 9165 11791 13605 15275 18330 22675 23582 27210 30550 35373 42629 45350 45825 58955 68025 70746 85258 91650 117910 127887 136050 176865 213145 255774 294775 353730 426290 554177 589550 639435 884325 1065725 1108354 1278870 1662531 1768650 2131450 2770885 3197175 3325062 5541770 6394350 8312655 13854425 16625310 27708850 41563275 83126550