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406028 = 22717853
BaseRepresentation
bin1100011001000001100
3202121222002
41203020030
5100443103
612411432
73310520
oct1431014
9677862
10406028
11258067
12176b78
13112a6c
14a7d80
1580488
hex6320c

406028 has 24 divisors (see below), whose sum is σ = 860832. Its totient is φ = 163584.

The previous prime is 406027. The next prime is 406037. The reversal of 406028 is 820604.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406028.

It is not an unprimeable number, because it can be changed into a prime (406027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50 + ... + 902.

It is an arithmetic number, because the mean of its divisors is an integer number (35868).

2406028 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 406028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430416).

406028 is an abundant number, since it is smaller than the sum of its proper divisors (454804).

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

406028 is a wasteful number, since it uses less digits than its factorization.

406028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 406028 is about 637.2032642729. The cubic root of 406028 is about 74.0489085007.

The spelling of 406028 in words is "four hundred six thousand, twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 853 1706 3412 5971 11942 14501 23884 29002 58004 101507 203014 406028