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1528096 = 2517532
BaseRepresentation
bin101110101000100100000
32212122011011
411311010200
5342344341
652430304
715663043
oct5650440
92778134
101528096
11954099
12618394
134166cb
142bac5a
15202b81
hex175120

1528096 has 36 divisors (see below), whose sum is σ = 3246642. Its totient is φ = 705536.

The previous prime is 1528073. The next prime is 1528103. The reversal of 1528096 is 6908251.

It can be written as a sum of positive squares in 3 ways, for example, as 1527696 + 400 = 1236^2 + 20^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28806 + ... + 28858.

21528096 is an apocalyptic number.

1528096 is a gapful number since it is divisible by the number (16) 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 1528096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623321).

1528096 is an abundant number, since it is smaller than the sum of its proper divisors (1718546).

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

1528096 is an equidigital number, since it uses as much as digits as its factorization.

1528096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 1528096 is about 1236.1618017072. The cubic root of 1528096 is about 115.1817164914.

It can be divided in two parts, 15280 and 96, that added together give a square (15376 = 1242).

The spelling of 1528096 in words is "one million, five hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 424 544 848 901 1696 1802 2809 3604 5618 7208 11236 14416 22472 28832 44944 47753 89888 95506 191012 382024 764048 1528096