Search a number
-
+
802428 = 223116079
BaseRepresentation
bin11000011111001111100
31111202201120
43003321330
5201134203
625110540
76551304
oct3037174
91452646
10802428
114a8970
12328450
13221313
1416c604
1510cb53
hexc3e7c

802428 has 24 divisors (see below), whose sum is σ = 2042880. Its totient is φ = 243120.

The previous prime is 802421. The next prime is 802441. The reversal of 802428 is 824208.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 802398 and 802407.

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 802428.

It is not an unprimeable number, because it can be changed into a prime (802421) by changing a digit.

802428 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, 2908 + ... + 3171.

It is an arithmetic number, because the mean of its divisors is an integer number (85120).

2802428 is an apocalyptic number.

It is an amenable number.

802428 is an abundant number, since it is smaller than the sum of its proper divisors (1240452).

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

802428 is a wasteful number, since it uses less digits than its factorization.

802428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097 (or 6095 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 802428 is about 895.7834559758. The cubic root of 802428 is about 92.9255966357.

The spelling of 802428 in words is "eight hundred two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 6079 12158 18237 24316 36474 66869 72948 133738 200607 267476 401214 802428