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142829008 = 2479713147
BaseRepresentation
bin10001000001101…
…10010111010000
3100221202110120021
420200312113100
5243031012013
622101153224
73353012050
oct1040662720
9327673507
10142829008
1173694603
123b9bb814
132378ac0a
1414d7d560
15c814a8d
hex88365d0

142829008 has 40 divisors (see below), whose sum is σ = 319548992. Its totient is φ = 60576768.

The previous prime is 142828993. The next prime is 142829021. The reversal of 142829008 is 800928241.

142829008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 4291 + ... + 17437.

Almost surely, 2142829008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142829008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159774496).

142829008 is an abundant number, since it is smaller than the sum of its proper divisors (176719984).

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

142829008 is a wasteful number, since it uses less digits than its factorization.

142829008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13259 (or 13253 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 142829008 is about 11951.1090698730. The cubic root of 142829008 is about 522.7236383071.

The spelling of 142829008 in words is "one hundred forty-two million, eight hundred twenty-nine thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1358 1552 2716 5432 10864 13147 26294 52588 92029 105176 184058 210352 368116 736232 1275259 1472464 2550518 5101036 8926813 10202072 17853626 20404144 35707252 71414504 142829008