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142849728 = 2632771499
BaseRepresentation
bin10001000001110…
…11011011000000
3100221210111222200
420200323123000
5243032142403
622101433200
73353126340
oct1040733300
9327714880
10142849728
11736a912a
123ba0b800
1323797488
1414d86d20
15c81aca3
hex883b6c0

142849728 has 168 divisors, whose sum is σ = 475488000. Its totient is φ = 40158720.

The previous prime is 142849709. The next prime is 142849769. The reversal of 142849728 is 827948241.

It is a tau number, because it is divible by the number of its divisors (168).

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

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 23 ways as a sum of consecutive naturals, for example, 286023 + ... + 286521.

Almost surely, 2142849728 is an apocalyptic number.

142849728 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 142849728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237744000).

142849728 is an abundant number, since it is smaller than the sum of its proper divisors (332638272).

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

142849728 is a wasteful number, since it uses less digits than its factorization.

142849728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 582 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 142849728 is about 11951.9759035902. The cubic root of 142849728 is about 522.7489140085.

The spelling of 142849728 in words is "one hundred forty-two million, eight hundred forty-nine thousand, seven hundred twenty-eight".