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2806826112 = 273223310457
BaseRepresentation
bin1010011101001100…
…1100010010000000
321020121112112120200
42213103030102000
521222021413422
61142304005200
7126361425336
oct24723142200
97217475520
102806826112
111210420002
12664000800
1335967a26c
141c8abdb56
151166372ac
hexa74cc480

2806826112 has 96 divisors (see below), whose sum is σ = 8112375180. Its totient is φ = 931504128.

The previous prime is 2806826101. The next prime is 2806826159. The reversal of 2806826112 is 2116286082.

It can be written as a sum of positive squares in 2 ways, for example, as 2790374976 + 16451136 = 52824^2 + 4056^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263188 + ... + 273644.

Almost surely, 22806826112 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 2806826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056187590).

2806826112 is an abundant number, since it is smaller than the sum of its proper divisors (5305549068).

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

2806826112 is a wasteful number, since it uses less digits than its factorization.

2806826112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10710 (or 10695 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2806826112 is about 52979.4876532418. The cubic root of 2806826112 is about 1410.6041895342.

The spelling of 2806826112 in words is "two billion, eight hundred six million, eight hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 233 288 384 466 576 699 932 1152 1398 1864 2097 2796 3728 4194 5592 7456 8388 10457 11184 14912 16776 20914 22368 29824 31371 33552 41828 44736 62742 67104 83656 89472 94113 125484 134208 167312 188226 250968 268416 334624 376452 501936 669248 752904 1003872 1338496 1505808 2007744 2436481 3011616 4015488 4872962 6023232 7309443 9745924 12046464 14618886 19491848 21928329 29237772 38983696 43856658 58475544 77967392 87713316 116951088 155934784 175426632 233902176 311869568 350853264 467804352 701706528 935608704 1403413056 2806826112