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702728 = 231329233
BaseRepresentation
bin10101011100100001000
31022200221222
42223210020
5134441403
623021212
75654525
oct2534410
91280858
10702728
1143aa74
1229a808
131b7b20
1414414c
15dd338
hexab908

702728 has 32 divisors (see below), whose sum is σ = 1474200. Its totient is φ = 311808.

The previous prime is 702721. The next prime is 702731. The reversal of 702728 is 827207.

It can be written as a sum of positive squares in 4 ways, for example, as 386884 + 315844 = 622^2 + 562^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 702697 and 702706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (702721) by changing a digit.

702728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2900 + ... + 3132.

2702728 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 702728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737100).

702728 is an abundant number, since it is smaller than the sum of its proper divisors (771472).

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

702728 is a wasteful number, since it uses less digits than its factorization.

702728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 702728 is about 838.2887330747. The cubic root of 702728 is about 88.9055936198.

702728 divided by its sum of digits (26) gives a triangular number (27028 = T232).

The spelling of 702728 in words is "seven hundred two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 233 377 466 754 932 1508 1864 3016 3029 6058 6757 12116 13514 24232 27028 54056 87841 175682 351364 702728