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2798031072 = 25347727853
BaseRepresentation
bin1010011011000110…
…1001000011100000
321012222222201001110
42212301221003200
521212243443242
61141351303320
7126223604664
oct24661510340
97188881043
102798031072
111206463181
1266107ab40
133578bacb5
141c78708a4
1511599b39c
hexa6c690e0

2798031072 has 96 divisors (see below), whose sum is σ = 7520228352. Its totient is φ = 910508544.

The previous prime is 2798031053. The next prime is 2798031073. The reversal of 2798031072 is 2701308972.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2798031072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2798031073) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3279798 + ... + 3280650.

It is an arithmetic number, because the mean of its divisors is an integer number (78335712).

Almost surely, 22798031072 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 2798031072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760114176).

2798031072 is an abundant number, since it is smaller than the sum of its proper divisors (4722197280).

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

2798031072 is a wasteful number, since it uses less digits than its factorization.

2798031072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 2798031072 is about 52896.4183286544. The cubic root of 2798031072 is about 1409.1292969496.

It can be divided in two parts, 279803 and 1072, that added together give a triangular number (280875 = T749).

The spelling of 2798031072 in words is "two billion, seven hundred ninety-eight million, thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 727 752 853 1128 1454 1504 1706 2181 2256 2559 2908 3412 4362 4512 5118 5816 6824 8724 10236 11632 13648 17448 20472 23264 27296 34169 34896 40091 40944 68338 69792 80182 81888 102507 120273 136676 160364 205014 240546 273352 320728 410028 481092 546704 620131 641456 820056 962184 1093408 1240262 1282912 1640112 1860393 1924368 2480524 3280224 3720786 3848736 4961048 7441572 9922096 14883144 19844192 29146157 29766288 58292314 59532576 87438471 116584628 174876942 233169256 349753884 466338512 699507768 932677024 1399015536 2798031072