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2808942948 = 223572931409
BaseRepresentation
bin1010011101101101…
…0001000101100100
321020202112002100000
42213123101011210
521223042133243
61142421221300
7126415423020
oct24733210544
97222462300
102808942948
111211636459
12664861830
13359c3b926
141c90b1380
151169045d3
hexa76d1164

2808942948 has 144 divisors (see below), whose sum is σ = 8449983360. Its totient is φ = 799248384.

The previous prime is 2808942943. The next prime is 2808942991. The reversal of 2808942948 is 8492498082.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2808942894 and 2808942903.

It is not an unprimeable number, because it can be changed into a prime (2808942943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1992868 + ... + 1994276.

It is an arithmetic number, because the mean of its divisors is an integer number (58680440).

Almost surely, 22808942948 is an apocalyptic number.

2808942948 is a gapful number since it is divisible by the number (28) 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 2808942948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224991680).

2808942948 is an abundant number, since it is smaller than the sum of its proper divisors (5641040412).

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

2808942948 is a wasteful number, since it uses less digits than its factorization.

2808942948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 2808942948 is about 52999.4617708520. The cubic root of 2808942948 is about 1410.9587142140.

The spelling of 2808942948 in words is "two billion, eight hundred eight million, nine hundred forty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 293 324 378 486 567 586 756 879 972 1134 1172 1409 1701 1758 2051 2268 2637 2818 3402 3516 4102 4227 5274 5636 6153 6804 7911 8204 8454 9863 10548 12306 12681 15822 16908 18459 19726 23733 24612 25362 29589 31644 36918 38043 39452 47466 50724 55377 59178 71199 73836 76086 88767 94932 110754 114129 118356 142398 152172 166131 177534 221508 228258 266301 284796 332262 342387 355068 412837 456516 498393 532602 664524 684774 798903 825674 996786 1065204 1238511 1369548 1597806 1651348 1993572 2396709 2477022 2889859 3195612 3715533 4793418 4954044 5779718 7431066 8669577 9586836 11146599 11559436 14862132 17339154 22293198 26008731 33439797 34678308 44586396 52017462 66879594 78026193 100319391 104034924 133759188 156052386 200638782 234078579 312104772 401277564 468157158 702235737 936314316 1404471474 2808942948