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2942709888 = 27383127727
BaseRepresentation
bin1010111101100110…
…0011000010000000
321121002020011002010
42233121203002000
522011313204023
61204000252520
7132631423056
oct25731430200
97532204063
102942709888
1112800a0548
126a1611140
1337b875b71
141dcb721d6
15123529093
hexaf663080

2942709888 has 128 divisors (see below), whose sum is σ = 7984005120. Its totient is φ = 960132096.

The previous prime is 2942709857. The next prime is 2942709943. The reversal of 2942709888 is 8889072492.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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, 4047381 + ... + 4048107.

It is an arithmetic number, because the mean of its divisors is an integer number (62375040).

Almost surely, 22942709888 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 2942709888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992002560).

2942709888 is an abundant number, since it is smaller than the sum of its proper divisors (5041295232).

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

2942709888 is a wasteful number, since it uses less digits than its factorization.

2942709888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The square root of 2942709888 is about 54246.7500224668. The cubic root of 2942709888 is about 1433.0097639660.

The spelling of 2942709888 in words is "two billion, nine hundred forty-two million, seven hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 127 128 166 192 249 254 332 381 384 498 508 664 727 762 996 1016 1328 1454 1524 1992 2032 2181 2656 2908 3048 3984 4064 4362 5312 5816 6096 7968 8128 8724 10541 10624 11632 12192 15936 16256 17448 21082 23264 24384 31623 31872 34896 42164 46528 48768 60341 63246 69792 84328 92329 93056 120682 126492 139584 168656 181023 184658 241364 252984 276987 279168 337312 362046 369316 482728 505968 553974 674624 724092 738632 965456 1011936 1107948 1349248 1448184 1477264 1930912 2023872 2215896 2896368 2954528 3861824 4047744 4431792 5792736 5909056 7663307 7723648 8863584 11585472 11818112 15326614 17727168 22989921 23170944 30653228 35454336 45979842 61306456 91959684 122612912 183919368 245225824 367838736 490451648 735677472 980903296 1471354944 2942709888