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86429457 = 333123331
BaseRepresentation
bin1010010011011…
…00111100010001
320000122001221000
411021230330101
5134111220312
612324252213
72066431632
oct511547421
9200561830
1086429457
1144872804
1224b41069
1314ba19ba
14b69b889
1578c3adc
hex526cf11

86429457 has 24 divisors (see below), whose sum is σ = 132347040. Its totient is φ = 55744200.

The previous prime is 86429443. The next prime is 86429459. The reversal of 86429457 is 75492468.

It is a happy number.

It is not a de Polignac number, because 86429457 - 28 = 86429201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86429459) 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 23 ways as a sum of consecutive naturals, for example, 24282 + ... + 27612.

It is an arithmetic number, because the mean of its divisors is an integer number (5514460).

Almost surely, 286429457 is an apocalyptic number.

It is an amenable number.

86429457 is a deficient number, since it is larger than the sum of its proper divisors (45917583).

86429457 is a wasteful number, since it uses less digits than its factorization.

86429457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3365 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 86429457 is about 9296.7444301755. The cubic root of 86429457 is about 442.1340151078.

The spelling of 86429457 in words is "eighty-six million, four hundred twenty-nine thousand, four hundred fifty-seven".

Divisors: 1 3 9 27 31 93 279 837 961 2883 3331 8649 9993 25947 29979 89937 103261 309783 929349 2788047 3201091 9603273 28809819 86429457