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142856928 = 25323116001
BaseRepresentation
bin10001000001111…
…01001011100000
3100221210212212100
420200331023200
5243032410203
622101530400
73353156334
oct1040751340
9327725770
10142856928
1173703585
123ba13a00
132379a836
1414d897c4
15c81cea3
hex883d2e0

142856928 has 72 divisors (see below), whose sum is σ = 419380416. Its totient is φ = 46080000.

The previous prime is 142856921. The next prime is 142856947. The reversal of 142856928 is 829658241.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142856921) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 928 + ... + 16928.

It is an arithmetic number, because the mean of its divisors is an integer number (5824728).

Almost surely, 2142856928 is an apocalyptic number.

142856928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142856928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

142856928 is an abundant number, since it is smaller than the sum of its proper divisors (276523488).

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

142856928 is a wasteful number, since it uses less digits than its factorization.

142856928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16048 (or 16037 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 142856928 is about 11952.2771052214. The cubic root of 142856928 is about 522.7576964986.

The spelling of 142856928 in words is "one hundred forty-two million, eight hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 16001 32002 48003 64004 96006 128008 144009 192012 256016 288018 384024 496031 512032 576036 768048 992062 1152072 1488093 1536096 1984124 2304144 2976186 3968248 4464279 4608288 5952372 7936496 8928558 11904744 15872992 17857116 23809488 35714232 47618976 71428464 142856928