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422448 = 24313677
BaseRepresentation
bin1100111001000110000
3210110111020
41213020300
5102004243
613015440
73406425
oct1471060
9713436
10422448
11269434
12184580
1311a390
14add4c
1585283
hex67230

422448 has 40 divisors (see below), whose sum is σ = 1177008. Its totient is φ = 129792.

The previous prime is 422431. The next prime is 422453. The reversal of 422448 is 844224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an unprimeable number.

422448 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, 286 + ... + 962.

2422448 is an apocalyptic number.

422448 is a gapful number since it is divisible by the number (48) 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 422448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588504).

422448 is an abundant number, since it is smaller than the sum of its proper divisors (754560).

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

422448 is a wasteful number, since it uses less digits than its factorization.

422448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 422448 is about 649.9599987692. The cubic root of 422448 is about 75.0339401941.

The spelling of 422448 in words is "four hundred twenty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 677 1354 2031 2708 4062 5416 8124 8801 10832 16248 17602 26403 32496 35204 52806 70408 105612 140816 211224 422448