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2808104148 = 2232891078191
BaseRepresentation
bin1010011101100000…
…0100010011010100
321020200221110201100
42213120010103110
521222333313043
61142351230100
7126405330363
oct24730042324
97220843640
102808104148
111211113233
12664518330
13359a06bb5
141c8d337da
151167dacd3
hexa76044d4

2808104148 has 72 divisors (see below), whose sum is σ = 7245987840. Its totient is φ = 916755840.

The previous prime is 2808104129. The next prime is 2808104161. The reversal of 2808104148 is 8414018082.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338733 + ... + 346923.

It is an arithmetic number, because the mean of its divisors is an integer number (100638720).

Almost surely, 22808104148 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 2808104148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622993920).

2808104148 is an abundant number, since it is smaller than the sum of its proper divisors (4437883692).

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

2808104148 is a wasteful number, since it uses less digits than its factorization.

2808104148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8397 (or 8392 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2808104148 is about 52991.5478920931. The cubic root of 2808104148 is about 1410.8182544970.

The spelling of 2808104148 in words is "two billion, eight hundred eight million, one hundred four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 89 107 178 214 267 321 356 428 534 642 801 963 1068 1284 1602 1926 3204 3852 8191 9523 16382 19046 24573 28569 32764 38092 49146 57138 73719 85707 98292 114276 147438 171414 294876 342828 728999 876437 1457998 1752874 2186997 2629311 2915996 3505748 4373994 5258622 6560991 7887933 8747988 10517244 13121982 15775866 26243964 31551732 78002893 156005786 234008679 312011572 468017358 702026037 936034716 1404052074 2808104148