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422432 = 2543307
BaseRepresentation
bin1100111001000100000
3210110110122
41213020200
5102004212
613015412
73406403
oct1471040
9713418
10422432
1126941a
12184568
1311a37a
14add3a
1585272
hex67220

422432 has 24 divisors (see below), whose sum is σ = 853776. Its totient is φ = 205632.

The previous prime is 422431. The next prime is 422453. The reversal of 422432 is 234224.

It is a self number, because there is not a number n which added to its sum of digits gives 422432.

It is not an unprimeable number, because it can be changed into a prime (422431) 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 3 ways as a sum of consecutive naturals, for example, 1223 + ... + 1529.

It is an arithmetic number, because the mean of its divisors is an integer number (35574).

2422432 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 422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426888).

422432 is an abundant number, since it is smaller than the sum of its proper divisors (431344).

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

422432 is a wasteful number, since it uses less digits than its factorization.

422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its digits is 384, while the sum is 17.

The square root of 422432 is about 649.9476902028. The cubic root of 422432 is about 75.0329928915.

Adding to 422432 its reverse (234224), we get a palindrome (656656).

The spelling of 422432 in words is "four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 86 172 307 344 614 688 1228 1376 2456 4912 9824 13201 26402 52804 105608 211216 422432