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86208248 = 237389353
BaseRepresentation
bin1010010001101…
…10111011111000
320000012211111002
411020312323320
5134032130443
612315424132
72064521000
oct510667370
9200184432
1086208248
1144731595
1224a55048
1314b250c9
14b641000
15787d2b8
hex5236ef8

86208248 has 64 divisors (see below), whose sum is σ = 191160000. Its totient is φ = 36427776.

The previous prime is 86208211. The next prime is 86208259. The reversal of 86208248 is 84280268.

It is a nialpdrome in base 14.

It is a congruent number.

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, 244040 + ... + 244392.

It is an arithmetic number, because the mean of its divisors is an integer number (2986875).

Almost surely, 286208248 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 86208248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95580000).

86208248 is an abundant number, since it is smaller than the sum of its proper divisors (104951752).

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

86208248 is a wasteful number, since it uses less digits than its factorization.

86208248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 86208248 is about 9284.8396862843. The cubic root of 86208248 is about 441.7564911092.

The spelling of 86208248 in words is "eighty-six million, two hundred eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 178 196 343 353 356 392 623 686 706 712 1246 1372 1412 2471 2492 2744 2824 4361 4942 4984 8722 9884 17297 17444 19768 30527 31417 34594 34888 61054 62834 69188 121079 122108 125668 138376 219919 242158 244216 251336 439838 484316 879676 968632 1539433 1759352 3078866 6157732 10776031 12315464 21552062 43104124 86208248