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86482746 = 23272313163
BaseRepresentation
bin1010010011110…
…01111100111010
320000201210000200
411021321330322
5134114421441
612325343030
72100043200
oct511717472
9200653020
1086482746
11448a9849
1224b67a76
1314bc002c
14b6b3070
1578d47b6
hex5279f3a

86482746 has 72 divisors (see below), whose sum is σ = 225074304. Its totient is φ = 23904720.

The previous prime is 86482709. The next prime is 86482751. The reversal of 86482746 is 64728468.

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, 25761 + ... + 28923.

It is an arithmetic number, because the mean of its divisors is an integer number (3126032).

Almost surely, 286482746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86482746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112537152).

86482746 is an abundant number, since it is smaller than the sum of its proper divisors (138591558).

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

86482746 is a wasteful number, since it uses less digits than its factorization.

86482746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3206 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 86482746 is about 9299.6099918222. The cubic root of 86482746 is about 442.2248639140.

The spelling of 86482746 in words is "eighty-six million, four hundred eighty-two thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 882 1302 1519 1953 3038 3163 3906 4557 6326 9114 9489 13671 18978 22141 27342 28467 44282 56934 66423 98053 132846 154987 196106 199269 294159 309974 398538 464961 588318 686371 882477 929922 1372742 1394883 1764954 2059113 2789766 4118226 4804597 6177339 9609194 12354678 14413791 28827582 43241373 86482746