Search a number
-
+
86270427 = 3417314347
BaseRepresentation
bin1010010010001…
…10000111011011
320000022222210000
411021012013123
5134041123202
612321024043
72065200165
oct511060733
9200288700
1086270427
1144774281
1224a85023
1314b474b9
14b659935
15789191c
hex52461db

86270427 has 80 divisors (see below), whose sum is σ = 147197952. Its totient is φ = 50077440.

The previous prime is 86270423. The next prime is 86270441. The reversal of 86270427 is 72407268.

86270427 is a `hidden beast` number, since 8 + 627 + 0 + 4 + 27 = 666.

It is not a de Polignac number, because 86270427 - 22 = 86270423 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86270391 and 86270400.

It is not an unprimeable number, because it can be changed into a prime (86270423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1835518 + ... + 1835564.

Almost surely, 286270427 is an apocalyptic number.

86270427 is a deficient number, since it is larger than the sum of its proper divisors (60927525).

86270427 is a wasteful number, since it uses less digits than its factorization.

86270427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 86270427 is about 9288.1874981075. The cubic root of 86270427 is about 441.8626734303.

It can be divided in two parts, 862 and 70427, that added together give a square (71289 = 2672).

The spelling of 86270427 in words is "eighty-six million, two hundred seventy thousand, four hundred twenty-seven".

Divisors: 1 3 9 17 27 31 43 47 51 81 93 129 141 153 279 387 423 459 527 731 799 837 1161 1269 1333 1377 1457 1581 2021 2193 2397 2511 3483 3807 3999 4371 4743 6063 6579 7191 11997 13113 14229 18189 19737 21573 22661 24769 34357 35991 39339 42687 54567 59211 62651 64719 67983 74307 103071 107973 118017 163701 187953 203949 222921 309213 563859 611847 668763 927639 1065067 1691577 1835541 2006289 2782917 3195201 5074731 9585603 28756809 86270427