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282839328 = 25329912
BaseRepresentation
bin10000110110111…
…100100100100000
3201201012201121200
4100312330210200
51034401324303
644022121200
710003044312
oct2066744440
9651181550
10282839328
11135723412
127a880200
134679cb65
14297c77b2
1519c6e3a3
hex10dbc920

282839328 has 54 divisors (see below), whose sum is σ = 805136787. Its totient is φ = 94184640.

The previous prime is 282839311. The next prime is 282839329. The reversal of 282839328 is 823938282.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

282839328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 141419664 + 141419664 = 11892^2 + 11892^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11892.

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

It is not an unprimeable number, because it can be changed into a prime (282839329) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 284913 + ... + 285903.

Almost surely, 2282839328 is an apocalyptic number.

It is an amenable number.

282839328 is an abundant number, since it is smaller than the sum of its proper divisors (522297459).

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

282839328 is an frugal number, since it uses more digits than its factorization.

282839328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 996 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 282839328 is about 16817.8276837408. The cubic root of 282839328 is about 656.4171697118.

The spelling of 282839328 in words is "two hundred eighty-two million, eight hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 991 1982 2973 3964 5946 7928 8919 11892 15856 17838 23784 31712 35676 47568 71352 95136 142704 285408 982081 1964162 2946243 3928324 5892486 7856648 8838729 11784972 15713296 17677458 23569944 31426592 35354916 47139888 70709832 94279776 141419664 282839328