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2808067152 = 2431119317883
BaseRepresentation
bin1010011101011111…
…1011010001010000
321020200212120222010
42213113323101100
521222331122102
61142350342520
7126405114462
oct24727732120
97220776863
102808067152
111211098460
126644baa40
133599c30c7
141c8d24132
151167ced6c
hexa75fb450

2808067152 has 160 divisors (see below), whose sum is σ = 8365893120. Its totient is φ = 802690560.

The previous prime is 2808067139. The next prime is 2808067169. The reversal of 2808067152 is 2517608082.

It is a super-2 number, since 2×28080671522 = 15770482260282782208, 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 2808067152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3179703 + ... + 3180585.

It is an arithmetic number, because the mean of its divisors is an integer number (52286832).

Almost surely, 22808067152 is an apocalyptic number.

2808067152 is a gapful number since it is divisible by the number (22) 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 2808067152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182946560).

2808067152 is an abundant number, since it is smaller than the sum of its proper divisors (5557825968).

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

2808067152 is a wasteful number, since it uses less digits than its factorization.

2808067152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 2808067152 is about 52991.1988164072. The cubic root of 2808067152 is about 1410.8120587556.

The spelling of 2808067152 in words is "two billion, eight hundred eight million, sixty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 317 418 456 528 627 634 836 883 912 951 1254 1268 1672 1766 1902 2508 2536 2649 3344 3487 3532 3804 5016 5072 5298 6023 6974 7064 7608 9713 10032 10461 10596 12046 13948 14128 15216 16777 18069 19426 20922 21192 24092 27896 29139 33554 36138 38852 41844 42384 48184 50331 55792 58278 66253 67108 72276 77704 83688 96368 100662 116556 132506 134216 144552 155408 167376 184547 198759 201324 233112 265012 268432 279911 289104 369094 397518 402648 466224 530024 553641 559822 738188 795036 805296 839733 1060048 1107282 1119644 1476376 1590072 1679466 2214564 2239288 2952752 3079021 3180144 3358932 4429128 4478576 5318309 6158042 6717864 8858256 9237063 10636618 12316084 13435728 15954927 18474126 21273236 24632168 31909854 36948252 42546472 49264336 58501399 63819708 73896504 85092944 117002798 127639416 147793008 175504197 234005596 255278832 351008394 468011192 702016788 936022384 1404033576 2808067152