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424211024 = 24198915679
BaseRepresentation
bin11001010010001…
…111001001010000
31002120020011010102
4121102033021100
51332044223044
6110032151532
713340506556
oct3122171120
91076204112
10424211024
111a8502026
12ba0985a8
1369b6a653
14404a7bd6
152739724e
hex1948f250

424211024 has 40 divisors (see below), whose sum is σ = 874944000. Its totient is φ = 198671616.

The previous prime is 424210999. The next prime is 424211033. The reversal of 424211024 is 420112424.

It is a junction number, because it is equal to n+sod(n) for n = 424210987 and 424211005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19217 + ... + 34895.

It is an arithmetic number, because the mean of its divisors is an integer number (21873600).

Almost surely, 2424211024 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 424211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472000).

424211024 is an abundant number, since it is smaller than the sum of its proper divisors (450732976).

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

424211024 is a wasteful number, since it uses less digits than its factorization.

424211024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15795 (or 15789 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 424211024 is about 20596.3837602624. The cubic root of 424211024 is about 751.3817632622.

Adding to 424211024 its reverse (420112424), we get a palindrome (844323448).

The spelling of 424211024 in words is "four hundred twenty-four million, two hundred eleven thousand, twenty-four".

Divisors: 1 2 4 8 16 19 38 76 89 152 178 304 356 712 1424 1691 3382 6764 13528 15679 27056 31358 62716 125432 250864 297901 595802 1191604 1395431 2383208 2790862 4766416 5581724 11163448 22326896 26513189 53026378 106052756 212105512 424211024