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142833888 = 2533165317
BaseRepresentation
bin10001000001101…
…11100011100000
3100221202201021000
420200313203200
5243031141023
622101232000
73353032221
oct1040674340
9327681230
10142833888
117369823a
123ba02600
13237901c2
1414d81248
15c816243
hex88378e0

142833888 has 48 divisors (see below), whose sum is σ = 416601360. Its totient is φ = 47611008.

The previous prime is 142833869. The next prime is 142833913. The reversal of 142833888 is 888338241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1428338882 = 40803039122393088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81795 + ... + 83522.

It is an arithmetic number, because the mean of its divisors is an integer number (8679195).

Almost surely, 2142833888 is an apocalyptic number.

142833888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

142833888 is an abundant number, since it is smaller than the sum of its proper divisors (273767472).

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

142833888 is a wasteful number, since it uses less digits than its factorization.

142833888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165336 (or 165322 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 142833888 is about 11951.3132332811. The cubic root of 142833888 is about 522.7295914916.

It can be divided in two parts, 14283 and 3888, that multiplied together give a square (55532304 = 74522).

The spelling of 142833888 in words is "one hundred forty-two million, eight hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 165317 330634 495951 661268 991902 1322536 1487853 1983804 2645072 2975706 3967608 4463559 5290144 5951412 7935216 8927118 11902824 15870432 17854236 23805648 35708472 47611296 71416944 142833888