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4868424 = 233411683
BaseRepresentation
bin10010100100100101001000
3100011100020000
4102210211020
52221242144
6252203000
756244441
oct22444510
910140200
104868424
1128257a0
121769460
131015c32
1490a2c8
15662769
hex4a4948

4868424 has 80 divisors (see below), whose sum is σ = 14897520. Its totient is φ = 1473120.

The previous prime is 4868419. The next prime is 4868431. The reversal of 4868424 is 4248684.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6787 + ... + 7469.

It is an arithmetic number, because the mean of its divisors is an integer number (186219).

Almost surely, 24868424 is an apocalyptic number.

4868424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4868424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7448760).

4868424 is an abundant number, since it is smaller than the sum of its proper divisors (10029096).

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

4868424 is a wasteful number, since it uses less digits than its factorization.

4868424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 699 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 4868424 is about 2206.4505432935. The cubic root of 4868424 is about 169.4842964542.

The spelling of 4868424 in words is "four million, eight hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 683 792 891 1188 1366 1782 2049 2376 2732 3564 4098 5464 6147 7128 7513 8196 12294 15026 16392 18441 22539 24588 30052 36882 45078 49176 55323 60104 67617 73764 90156 110646 135234 147528 180312 202851 221292 270468 405702 442584 540936 608553 811404 1217106 1622808 2434212 4868424