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1041426828 = 2233136711071
BaseRepresentation
bin111110000100101…
…110100110001100
32200120121222001000
4332010232212030
54113101124303
6251201220300
734543660551
oct7604564614
92616558030
101041426828
11494949432
12250931690
131379b32c0
149c452a28
1561665da3
hex3e12e98c

1041426828 has 96 divisors (see below), whose sum is σ = 2951352320. Its totient is φ = 315627840.

The previous prime is 1041426811. The next prime is 1041426829. The reversal of 1041426828 is 8286241401.

1041426828 is digitally balanced in base 2, because in such base 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1041426792 and 1041426801.

It is not an unprimeable number, because it can be changed into a prime (1041426829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88533 + ... + 99603.

Almost surely, 21041426828 is an apocalyptic number.

1041426828 is a gapful number since it is divisible by the number (18) 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 1041426828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475676160).

1041426828 is an abundant number, since it is smaller than the sum of its proper divisors (1909925492).

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

1041426828 is a wasteful number, since it uses less digits than its factorization.

1041426828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11164 (or 11156 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1041426828 is about 32271.1454398508. The cubic root of 1041426828 is about 1013.6225267722.

The spelling of 1041426828 in words is "one billion, forty-one million, four hundred twenty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 108 117 134 156 201 234 268 351 402 468 603 702 804 871 1206 1404 1742 1809 2412 2613 3484 3618 5226 7236 7839 10452 11071 15678 22142 23517 31356 33213 44284 47034 66426 94068 99639 132852 143923 199278 287846 298917 398556 431769 575692 597834 741757 863538 1195668 1295307 1483514 1727076 2225271 2590614 2967028 3885921 4450542 5181228 6675813 7771842 8901084 9642841 13351626 15543684 19285682 20027439 26703252 28928523 38571364 40054878 57857046 80109756 86785569 115714092 173571138 260356707 347142276 520713414 1041426828