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86245446 = 237192337127
BaseRepresentation
bin1010010010000…
…00000001000110
320000021201111210
411021000001012
5134034323241
612320312250
72065034310
oct511000106
9200251453
1086245446
1144757531
1224a72686
1314b39011
14b6507b0
157889316
hex5240046

86245446 has 128 divisors (see below), whose sum is σ = 224133120. Its totient is φ = 21555072.

The previous prime is 86245417. The next prime is 86245447. The reversal of 86245446 is 64454268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86245447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 679035 + ... + 679161.

It is an arithmetic number, because the mean of its divisors is an integer number (1751040).

Almost surely, 286245446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86245446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112066560).

86245446 is an abundant number, since it is smaller than the sum of its proper divisors (137887674).

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

86245446 is a wasteful number, since it uses less digits than its factorization.

86245446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

The product of its digits is 184320, while the sum is 39.

The square root of 86245446 is about 9286.8426281487. The cubic root of 86245446 is about 441.8200198141.

The spelling of 86245446 in words is "eighty-six million, two hundred forty-five thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 23 37 38 42 46 57 69 74 111 114 127 133 138 161 222 254 259 266 322 381 399 437 483 518 703 762 777 798 851 874 889 966 1311 1406 1554 1702 1778 2109 2413 2553 2622 2667 2921 3059 4218 4699 4826 4921 5106 5334 5842 5957 6118 7239 8763 9177 9398 9842 11914 14097 14478 14763 16169 16891 17526 17871 18354 20447 28194 29526 32338 32893 33782 35742 40894 48507 50673 55499 61341 65786 89281 97014 98679 101346 108077 110998 113183 122682 166497 178562 197358 216154 226366 267843 324231 332994 339549 388493 535686 624967 648462 679098 756539 776986 1165479 1249934 1513078 1874901 2053463 2269617 2330958 3749802 4106926 4539234 6160389 12320778 14374241 28748482 43122723 86245446