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86329488 = 24372311171
BaseRepresentation
bin1010010010101…
…00100010010000
320000102222210110
411021110202100
5134100020423
612322201320
72065534320
oct511244220
9200388713
1086329488
1144804693
1224ab3240
1314b6834b
14b673280
1578a4193
hex5254890

86329488 has 80 divisors (see below), whose sum is σ = 265982976. Its totient is φ = 23591040.

The previous prime is 86329427. The next prime is 86329493. The reversal of 86329488 is 88492368.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2143 + ... + 13313.

Almost surely, 286329488 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 86329488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132991488).

86329488 is an abundant number, since it is smaller than the sum of its proper divisors (179653488).

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

86329488 is a wasteful number, since it uses less digits than its factorization.

86329488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212 (or 11206 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 86329488 is about 9291.3663150260. The cubic root of 86329488 is about 441.9634839444.

The spelling of 86329488 in words is "eighty-six million, three hundred twenty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 11171 22342 33513 44684 67026 78197 89368 134052 156394 178736 234591 256933 268104 312788 469182 513866 536208 625576 770799 938364 1027732 1251152 1541598 1798531 1876728 2055464 3083196 3597062 3753456 4110928 5395593 6166392 7194124 10791186 12332784 14388248 21582372 28776496 43164744 86329488