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2793490944 = 29323107739
BaseRepresentation
bin1010011010000001…
…0100101000000000
321012200110001011120
42212200110220000
521210113202234
61141110112240
7126140165316
oct24640245000
97180401146
102793490944
111203942102
1265b64b680
1335698b62a
141c700c0b6
151153a1049
hexa6814a00

2793490944 has 160 divisors (see below), whose sum is σ = 7848783360. Its totient is φ = 881160192.

The previous prime is 2793490939. The next prime is 2793490991. The reversal of 2793490944 is 4490943972.

It is a super-2 number, since 2×27934909442 = 15607183308420022272, which contains 22 as substring.

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, 3779727 + ... + 3780465.

It is an arithmetic number, because the mean of its divisors is an integer number (49054896).

Almost surely, 22793490944 is an apocalyptic number.

2793490944 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 2793490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924391680).

2793490944 is an abundant number, since it is smaller than the sum of its proper divisors (5055292416).

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

2793490944 is a wasteful number, since it uses less digits than its factorization.

2793490944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 2793490944 is about 52853.4856371839. The cubic root of 2793490944 is about 1408.3667261000.

The spelling of 2793490944 in words is "two billion, seven hundred ninety-three million, four hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 107 128 138 184 192 214 256 276 321 368 384 428 512 552 642 736 739 768 856 1104 1284 1472 1478 1536 1712 2208 2217 2461 2568 2944 2956 3424 4416 4434 4922 5136 5888 5912 6848 7383 8832 8868 9844 10272 11776 11824 13696 14766 16997 17664 17736 19688 20544 23648 27392 29532 33994 35328 35472 39376 41088 47296 50991 54784 59064 67988 70944 78752 79073 82176 94592 101982 118128 135976 141888 157504 158146 164352 189184 203964 236256 237219 271952 283776 315008 316292 378368 407928 472512 474438 543904 567552 630016 632584 815856 945024 948876 1087808 1135104 1260032 1265168 1631712 1818679 1890048 1897752 2175616 2530336 3263424 3637358 3780096 3795504 4351232 5060672 5456037 6526848 7274716 7591008 8702464 10121344 10912074 13053696 14549432 15182016 20242688 21824148 26107392 29098864 30364032 40485376 43648296 58197728 60728064 87296592 116395456 121456128 174593184 232790912 349186368 465581824 698372736 931163648 1396745472 2793490944