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2808083124 = 22327117912823
BaseRepresentation
bin1010011101011111…
…1111001010110100
321020200220101212200
42213113333022310
521222332124444
61142350544500
7126405212160
oct24727771264
97220811780
102808083124
1112110a9460
12664508130
133599ca462
141c8d29ca0
151167d4969
hexa75ff2b4

2808083124 has 144 divisors (see below), whose sum is σ = 8962437120. Its totient is φ = 720083520.

The previous prime is 2808083107. The next prime is 2808083149. The reversal of 2808083124 is 4213808082.

2808083124 = T8392 + T8393 + ... + T8470.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212577 + ... + 225399.

Almost surely, 22808083124 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 2808083124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481218560).

2808083124 is an abundant number, since it is smaller than the sum of its proper divisors (6154353996).

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

2808083124 is a wasteful number, since it uses less digits than its factorization.

2808083124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12930 (or 12925 counting only the distinct ones).

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

The square root of 2808083124 is about 52991.3495204642. The cubic root of 2808083124 is about 1410.8147336023.

The spelling of 2808083124 in words is "two billion, eight hundred eight million, eighty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 79 84 99 126 132 154 158 198 231 237 252 308 316 396 462 474 553 693 711 869 924 948 1106 1386 1422 1659 1738 2212 2607 2772 2844 3318 3476 4977 5214 6083 6636 7821 9954 10428 12166 12823 15642 18249 19908 24332 25646 31284 36498 38469 51292 54747 72996 76938 89761 109494 115407 141053 153876 179522 218988 230814 269283 282106 359044 423159 461628 538566 564212 807849 846318 987371 1013017 1077132 1269477 1615698 1692636 1974742 2026034 2538954 2962113 3039051 3231396 3949484 4052068 5077908 5924226 6078102 7091119 8886339 9117153 11143187 11848452 12156204 14182238 17772678 18234306 21273357 22286374 28364476 33429561 35545356 36468612 42546714 44572748 63820071 66859122 78002309 85093428 100288683 127640142 133718244 156004618 200577366 234006927 255280284 312009236 401154732 468013854 702020781 936027708 1404041562 2808083124