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142856766 = 23213738363
BaseRepresentation
bin10001000001111…
…01001000111110
3100221210212122100
420200331020332
5243032404031
622101525530
73353156013
oct1040751076
9327725570
10142856766
1173703448
123ba138a6
132379a740
1414d8970a
15c81cde6
hex883d23e

142856766 has 48 divisors (see below), whose sum is σ = 337939056. Its totient is φ = 43348608.

The previous prime is 142856761. The next prime is 142856767. The reversal of 142856766 is 667658241.

142856766 is a `hidden beast` number, since 1 + 4 + 28 + 567 + 66 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142856761) 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, 12901 + ... + 21263.

It is an arithmetic number, because the mean of its divisors is an integer number (7040397).

Almost surely, 2142856766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142856766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168969528).

142856766 is an abundant number, since it is smaller than the sum of its proper divisors (195082290).

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

142856766 is a wasteful number, since it uses less digits than its factorization.

142856766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8457 (or 8454 counting only the distinct ones).

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

The square root of 142856766 is about 11952.2703282682. The cubic root of 142856766 is about 522.7574988958.

The spelling of 142856766 in words is "one hundred forty-two million, eight hundred fifty-six thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 219 234 438 657 949 1314 1898 2847 5694 8363 8541 16726 17082 25089 50178 75267 108719 150534 217438 326157 610499 652314 978471 1220998 1831497 1956942 3662994 5494491 7936487 10988982 15872974 23809461 47618922 71428383 142856766