Search a number
-
+
840526146 = 2348997601
BaseRepresentation
bin110010000110010…
…110100101000010
32011120121011010000
4302012112211002
53210133314041
6215223220430
726554232355
oct6206264502
92146534100
10840526146
113a1500809
121b55a7716
131051a2065
147d8b829c
154dbcebb6
hex32196942

840526146 has 80 divisors (see below), whose sum is σ = 1927399320. Its totient is φ = 273715200.

The previous prime is 840526133. The next prime is 840526147. The reversal of 840526146 is 641625048.

It can be written as a sum of positive squares in 4 ways, for example, as 714974121 + 125552025 = 26739^2 + 11205^2 .

It is a super-2 number, since 2×8405261462 = 1412968404219226632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 840526146.

It is not an unprimeable number, because it can be changed into a prime (840526147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1398246 + ... + 1398846.

Almost surely, 2840526146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840526146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963699660).

840526146 is an abundant number, since it is smaller than the sum of its proper divisors (1086873174).

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

840526146 is a wasteful number, since it uses less digits than its factorization.

840526146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 840526146 is about 28991.8289523100. The cubic root of 840526146 is about 943.7357546144.

The spelling of 840526146 in words is "eight hundred forty million, five hundred twenty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 89 97 162 178 194 267 291 534 582 601 801 873 1202 1602 1746 1803 2403 2619 3606 4806 5238 5409 7209 7857 8633 10818 14418 15714 16227 17266 25899 32454 48681 51798 53489 58297 77697 97362 106978 116594 155394 160467 174891 233091 320934 349782 466182 481401 524673 699273 962802 1049346 1398546 1444203 1574019 2888406 3148038 4332609 4722057 5188433 8665218 9444114 10376866 15565299 31130598 46695897 93391794 140087691 280175382 420263073 840526146