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803628 = 223371063
BaseRepresentation
bin11000100001100101100
31111211101000
43010030230
5201204003
625120300
76554640
oct3041454
91454330
10803628
114a9861
12329090
13221a27
1416cc20
1510d1a3
hexc432c

803628 has 48 divisors (see below), whose sum is σ = 2383360. Its totient is φ = 229392.

The previous prime is 803623. The next prime is 803629. The reversal of 803628 is 826308.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803623) by changing a digit.

803628 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 15 ways as a sum of consecutive naturals, for example, 225 + ... + 1287.

2803628 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 803628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191680).

803628 is an abundant number, since it is smaller than the sum of its proper divisors (1579732).

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

803628 is a wasteful number, since it uses less digits than its factorization.

803628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 803628 is about 896.4530104808. The cubic root of 803628 is about 92.9718957743.

It can be divided in two parts, 803 and 628, that added together give a triangular number (1431 = T53).

The spelling of 803628 in words is "eight hundred three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1063 2126 3189 4252 6378 7441 9567 12756 14882 19134 22323 28701 29764 38268 44646 57402 66969 89292 114804 133938 200907 267876 401814 803628