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2867244144 = 243412575669
BaseRepresentation
bin1010101011100110…
…1010110001110000
321101211020002112120
42222321222301300
521333003303034
61152302554240
7131024113242
oct25271526160
97354202476
102867244144
111241536a66
12680298980
1336904258b
141d2b2a092
1511babdc49
hexaae6ac70

2867244144 has 80 divisors (see below), whose sum is σ = 7618574880. Its totient is φ = 928645120.

The previous prime is 2867244137. The next prime is 2867244151. The reversal of 2867244144 is 4414427682.

2867244144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2867244137) and next prime (2867244151).

It is a junction number, because it is equal to n+sod(n) for n = 2867244096 and 2867244105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502942 + ... + 508610.

It is an arithmetic number, because the mean of its divisors is an integer number (95232186).

Almost surely, 22867244144 is an apocalyptic number.

2867244144 is a gapful number since it is divisible by the number (24) 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 2867244144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809287440).

2867244144 is an abundant number, since it is smaller than the sum of its proper divisors (4751330736).

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

2867244144 is a wasteful number, since it uses less digits than its factorization.

2867244144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5972 counting only the distinct ones).

The product of its digits is 344064, while the sum is 42.

The square root of 2867244144 is about 53546.6539010609. The cubic root of 2867244144 is about 1420.6536936053.

The spelling of 2867244144 in words is "two billion, eight hundred sixty-seven million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 257 328 492 514 656 771 984 1028 1542 1968 2056 3084 4112 5669 6168 10537 11338 12336 17007 21074 22676 31611 34014 42148 45352 63222 68028 84296 90704 126444 136056 168592 232429 252888 272112 464858 505776 697287 929716 1394574 1456933 1859432 2789148 2913866 3718864 4370799 5578296 5827732 8741598 11156592 11655464 17483196 23310928 34966392 59734253 69932784 119468506 179202759 238937012 358405518 477874024 716811036 955748048 1433622072 2867244144