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359028 = 22329973
BaseRepresentation
bin1010111101001110100
3200020111100
41113221310
542442103
611410100
73023505
oct1275164
9606440
10359028
1122581a
12153930
13c7557
1494bac
15715a3
hex57a74

359028 has 18 divisors (see below), whose sum is σ = 907634. Its totient is φ = 119664.

The previous prime is 359027. The next prime is 359041. The reversal of 359028 is 820953.

It can be written as a sum of positive squares in only one way, i.e., 242064 + 116964 = 492^2 + 342^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×3590282 = 257802209568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 358992 and 359010.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 359028.

It is not an unprimeable number, because it can be changed into a prime (359027) 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 5 ways as a sum of consecutive naturals, for example, 4951 + ... + 5022.

2359028 is an apocalyptic number.

It is an amenable number.

359028 is an abundant number, since it is smaller than the sum of its proper divisors (548606).

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

359028 is a wasteful number, since it uses less digits than its factorization.

359028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9983 (or 9978 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 359028 is about 599.1894525106. The cubic root of 359028 is about 71.0737843021.

The spelling of 359028 in words is "three hundred fifty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 9973 19946 29919 39892 59838 89757 119676 179514 359028