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2478428628 = 22313194717791
BaseRepresentation
bin1001001110111001…
…1101000111010100
320101201121012220220
42103232131013110
520033434204003
61045533154340
7115263203304
oct22356350724
96351535826
102478428628
111062010125
1259202b9b0
13306618a20
14197237604
15e78b9353
hex93b9d1d4

2478428628 has 96 divisors (see below), whose sum is σ = 6695485440. Its totient is φ = 707045760.

The previous prime is 2478428627. The next prime is 2478428633. The reversal of 2478428628 is 8268248742.

It is a super-2 number, since 2×24784286282 = 12285216928179924768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478428627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130413 + ... + 148203.

It is an arithmetic number, because the mean of its divisors is an integer number (69744640).

Almost surely, 22478428628 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 2478428628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347742720).

2478428628 is an abundant number, since it is smaller than the sum of its proper divisors (4217056812).

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

2478428628 is a wasteful number, since it uses less digits than its factorization.

2478428628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17877 (or 17875 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 51.

The square root of 2478428628 is about 49783.8189374821. The cubic root of 2478428628 is about 1353.2939459418.

The spelling of 2478428628 in words is "two billion, four hundred seventy-eight million, four hundred twenty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 47 52 57 76 78 94 114 141 156 188 228 247 282 494 564 611 741 893 988 1222 1482 1786 1833 2444 2679 2964 3572 3666 5358 7332 10716 11609 17791 23218 34827 35582 46436 53373 69654 71164 106746 139308 213492 231283 338029 462566 676058 693849 836177 925132 1014087 1352116 1387698 1672354 2028174 2508531 2775396 3344708 4056348 4394377 5017062 8788754 10034124 10870301 13183131 15887363 17577508 21740602 26366262 31774726 32610903 43481204 47662089 52732524 63549452 65221806 95324178 130443612 190648356 206535719 413071438 619607157 826142876 1239214314 2478428628