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12417424 = 242341823
BaseRepresentation
bin101111010111…
…100110010000
3212100212111121
4233113212100
511134324144
61122052024
7210355255
oct57274620
925325447
1012417424
117011438
1241aa014
132759cb6
14191342c
151154384
hexbd7990

12417424 has 40 divisors (see below), whose sum is σ = 25748352. Its totient is φ = 5786880.

The previous prime is 12417413. The next prime is 12417437. The reversal of 12417424 is 42471421.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14677 + ... + 15499.

Almost surely, 212417424 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 12417424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874176).

12417424 is an abundant number, since it is smaller than the sum of its proper divisors (13330928).

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

12417424 is a wasteful number, since it uses less digits than its factorization.

12417424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 889 counting only the distinct ones).

The product of its digits is 1792, while the sum is 25.

The square root of 12417424 is about 3523.8365455849. The cubic root of 12417424 is about 231.5672670780.

Adding to 12417424 its reverse (42471421), we get a palindrome (54888845).

The spelling of 12417424 in words is "twelve million, four hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 328 368 656 823 943 1646 1886 3292 3772 6584 7544 13168 15088 18929 33743 37858 67486 75716 134972 151432 269944 302864 539888 776089 1552178 3104356 6208712 12417424