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12425424 = 24311101233
BaseRepresentation
bin101111011001…
…100011010000
3212101021110220
4233121203100
511140103144
61122153040
7210420504
oct57314320
925337426
1012425424
117017450
1241b2780
13276082b
141916304
151156919
hexbd98d0

12425424 has 80 divisors (see below), whose sum is σ = 35515584. Its totient is φ = 3712000.

The previous prime is 12425423. The next prime is 12425443. The reversal of 12425424 is 42452421.

It is a happy number.

12425424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12425394 and 12425403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12425423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53212 + ... + 53444.

Almost surely, 212425424 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 12425424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757792).

12425424 is an abundant number, since it is smaller than the sum of its proper divisors (23090160).

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

12425424 is a wasteful number, since it uses less digits than its factorization.

12425424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 12425424 is about 3524.9714892464. The cubic root of 12425424 is about 231.6169859365.

Adding to 12425424 its reverse (42452421), we get a palindrome (54877845).

It can be divided in two parts, 1242 and 5424, that added together give a palindrome (6666).

The spelling of 12425424 in words is "twelve million, four hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 233 264 303 404 466 528 606 699 808 932 1111 1212 1398 1616 1864 2222 2424 2563 2796 3333 3728 4444 4848 5126 5592 6666 7689 8888 10252 11184 13332 15378 17776 20504 23533 26664 30756 41008 47066 53328 61512 70599 94132 123024 141198 188264 258863 282396 376528 517726 564792 776589 1035452 1129584 1553178 2070904 3106356 4141808 6212712 12425424