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86161257 = 32731319113
BaseRepresentation
bin1010010001010…
…11011101101001
320000010110000200
411020223131221
5134024130012
612314422413
72064234000
oct510533551
9200113020
1086161257
11446aa256
1224a31a09
1314b098c0
14b62bc37
15786e3dc
hex522b769

86161257 has 96 divisors (see below), whose sum is σ = 165984000. Its totient is φ = 42674688.

The previous prime is 86161237. The next prime is 86161261. The reversal of 86161257 is 75216168.

It is not a de Polignac number, because 86161257 - 212 = 86157161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86161237) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 762433 + ... + 762545.

It is an arithmetic number, because the mean of its divisors is an integer number (1729000).

Almost surely, 286161257 is an apocalyptic number.

It is an amenable number.

86161257 is a deficient number, since it is larger than the sum of its proper divisors (79822743).

86161257 is a wasteful number, since it uses less digits than its factorization.

86161257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 86161257 is about 9282.3088183921. The cubic root of 86161257 is about 441.6762112727.

The spelling of 86161257 in words is "eighty-six million, one hundred sixty-one thousand, two hundred fifty-seven".

Divisors: 1 3 7 9 13 19 21 39 49 57 63 91 113 117 133 147 171 247 273 339 343 399 441 637 741 791 819 931 1017 1029 1197 1469 1729 1911 2147 2223 2373 2793 3087 4407 4459 5187 5537 5733 6441 6517 7119 8379 10283 12103 13221 13377 15029 15561 16611 19323 19551 27911 30849 36309 38759 40131 45087 49833 58653 71981 83733 84721 92547 105203 108927 116277 135261 195377 215943 251199 254163 315609 348831 503867 586131 647829 736421 762489 946827 1367639 1511601 1758393 2209263 4102917 4534803 6627789 9573473 12308751 28720419 86161257