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424096 = 2529457
BaseRepresentation
bin1100111100010100000
3210112202021
41213202200
5102032341
613031224
73414301
oct1474240
9715667
10424096
1126a6a2
12185514
1311b05a
14b07a8
15859d1
hex678a0

424096 has 24 divisors (see below), whose sum is σ = 865620. Its totient is φ = 204288.

The previous prime is 424093. The next prime is 424103. The reversal of 424096 is 690424.

It can be written as a sum of positive squares in 2 ways, for example, as 404496 + 19600 = 636^2 + 140^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 424096.

It is not an unprimeable number, because it can be changed into a prime (424091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 700 + ... + 1156.

2424096 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 424096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432810).

424096 is an abundant number, since it is smaller than the sum of its proper divisors (441524).

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

424096 is a wasteful number, since it uses less digits than its factorization.

424096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 424096 is about 651.2265350859. The cubic root of 424096 is about 75.1313845219.

The spelling of 424096 in words is "four hundred twenty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 457 464 914 928 1828 3656 7312 13253 14624 26506 53012 106024 212048 424096