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8241001428 = 22311434673109
BaseRepresentation
bin1111010110011001…
…11011001111010100
3210021022220020201010
413223030323033110
5113334144021203
63441425132220
7411135233142
oct75314731724
923238806633
108241001428
113549915390
12171ba8a070
13a14454a0a
145826c0592
15333753303
hex1eb33b3d4

8241001428 has 96 divisors (see below), whose sum is σ = 21517816320. Its totient is φ = 2433191040.

The previous prime is 8241001399. The next prime is 8241001441.

8241001428 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8241001395 and 8241001404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2649138 + ... + 2652246.

It is an arithmetic number, because the mean of its divisors is an integer number (224143920).

Almost surely, 28241001428 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 8241001428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10758908160).

8241001428 is an abundant number, since it is smaller than the sum of its proper divisors (13276814892).

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

8241001428 is a wasteful number, since it uses less digits than its factorization.

8241001428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 8241001428 is about 90779.9615994631. The cubic root of 8241001428 is about 2019.8850887153.

It can be divided in two parts, 824100 and 1428, that added together give a palindrome (825528).

The spelling of 8241001428 in words is "eight billion, two hundred forty-one million, one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 467 473 516 934 946 1401 1419 1868 1892 2802 2838 3109 5137 5604 5676 6218 9327 10274 12436 15411 18654 20081 20548 30822 34199 37308 40162 60243 61644 68398 80324 102597 120486 133687 136796 205194 220891 240972 267374 401061 410388 441782 534748 662673 802122 883564 1325346 1451903 1470557 1604244 2650692 2903806 2941114 4355709 4411671 5807612 5882228 8711418 8823342 15970933 17422836 17646684 31941866 47912799 62431829 63883732 95825598 124863658 187295487 191651196 249727316 374590974 686750119 749181948 1373500238 2060250357 2747000476 4120500714 8241001428