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84114657 = 321117234153
BaseRepresentation
bin1010000001101…
…11110011100001
312212021110121200
411000313303201
5133013132112
612202511413
72040651144
oct500676341
9185243550
1084114657
1143531650
1224205569
13145711b3
14b25805b
1575b7cdc
hex5037ce1

84114657 has 96 divisors (see below), whose sum is σ = 152845056. Its totient is φ = 43929600.

The previous prime is 84114649. The next prime is 84114659. The reversal of 84114657 is 75641148.

It is a happy number.

It is not a de Polignac number, because 84114657 - 23 = 84114649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84114659) 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 95 ways as a sum of consecutive naturals, for example, 1587043 + ... + 1587095.

It is an arithmetic number, because the mean of its divisors is an integer number (1592136).

Almost surely, 284114657 is an apocalyptic number.

It is an amenable number.

84114657 is a deficient number, since it is larger than the sum of its proper divisors (68730399).

84114657 is a wasteful number, since it uses less digits than its factorization.

84114657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 148 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 84114657 is about 9171.4043090467. The cubic root of 84114657 is about 438.1510863024.

The spelling of 84114657 in words is "eighty-four million, one hundred fourteen thousand, six hundred fifty-seven".

Divisors: 1 3 9 11 17 23 33 41 51 53 69 99 123 153 159 187 207 253 369 391 451 477 561 583 697 759 901 943 1173 1219 1353 1683 1749 2091 2173 2277 2703 2829 3519 3657 4059 4301 5247 6273 6519 7667 8109 8487 9911 10373 10971 12903 13409 16031 19557 20723 23001 23903 29733 31119 36941 38709 40227 48093 49979 62169 69003 71709 89199 93357 110823 120681 144279 149937 176341 186507 215127 227953 332469 406351 449811 529023 549769 683859 849643 1219053 1587069 1649307 2051577 2548929 3657159 4947921 7646787 9346073 28038219 84114657