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840849048 = 233213929967
BaseRepresentation
bin110010000111100…
…101011010011000
32011121012120001100
4302013211122120
53210224132143
6215234151400
726560045644
oct6207453230
92147176040
10840849048
113a1701376
121b5722560
13105286020
147d95dc24
154dc456d3
hex321e5698

840849048 has 96 divisors (see below), whose sum is σ = 2457655200. Its totient is φ = 258177024.

The previous prime is 840849017. The next prime is 840849089. The reversal of 840849048 is 840948048.

It is a junction number, because it is equal to n+sod(n) for n = 840848994 and 840849012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869061 + ... + 870027.

It is an arithmetic number, because the mean of its divisors is an integer number (25600575).

Almost surely, 2840849048 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 840849048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228827600).

840849048 is an abundant number, since it is smaller than the sum of its proper divisors (1616806152).

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

840849048 is a wasteful number, since it uses less digits than its factorization.

840849048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 840849048 is about 28997.3972625131. The cubic root of 840849048 is about 943.8565897007.

The spelling of 840849048 in words is "eight hundred forty million, eight hundred forty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 929 936 967 1858 1934 2787 2901 3716 3868 5574 5802 7432 7736 8361 8703 11148 11604 12077 12571 16722 17406 22296 23208 24154 25142 33444 34812 36231 37713 48308 50284 66888 69624 72462 75426 96616 100568 108693 113139 144924 150852 217386 226278 289848 301704 434772 452556 869544 898343 905112 1796686 2695029 3593372 5390058 7186744 8085087 10780116 11678459 16170174 21560232 23356918 32340348 35035377 46713836 64680696 70070754 93427672 105106131 140141508 210212262 280283016 420424524 840849048