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424672 = 2523577
BaseRepresentation
bin1100111101011100000
3210120112121
41213223200
5102042142
613034024
73416053
oct1475340
9716477
10424672
11270076
12185914
1311b3b1
14b0a9a
1585c67
hex67ae0

424672 has 24 divisors (see below), whose sum is σ = 873936. Its totient is φ = 202752.

The previous prime is 424667. The next prime is 424679. The reversal of 424672 is 276424.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424679) by changing a digit.

424672 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 3 ways as a sum of consecutive naturals, for example, 448 + ... + 1024.

It is an arithmetic number, because the mean of its divisors is an integer number (36414).

2424672 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 424672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436968).

424672 is an abundant number, since it is smaller than the sum of its proper divisors (449264).

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

424672 is a wasteful number, since it uses less digits than its factorization.

424672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 602 counting only the distinct ones).

The product of its digits is 2688, while the sum is 25.

The square root of 424672 is about 651.6686274480. The cubic root of 424672 is about 75.1653831921.

The spelling of 424672 in words is "four hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 577 736 1154 2308 4616 9232 13271 18464 26542 53084 106168 212336 424672