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2944056480 = 25358373897
BaseRepresentation
bin1010111101111010…
…1011110010100000
321121011202120020220
42233132223302200
522012134301410
61204045203040
7132646032021
oct25736536240
97534676226
102944056480
111280930232
126a1b60480
1337bc27a71
141dd002c48
151236e3070
hexaf7abca0

2944056480 has 96 divisors (see below), whose sum is σ = 9385637184. Its totient is φ = 775612416.

The previous prime is 2944056463. The next prime is 2944056491. The reversal of 2944056480 is 846504492.

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

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, 2892 + ... + 76788.

It is an arithmetic number, because the mean of its divisors is an integer number (97767054).

Almost surely, 22944056480 is an apocalyptic number.

2944056480 is a gapful number since it is divisible by the number (20) 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 2944056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692818592).

2944056480 is an abundant number, since it is smaller than the sum of its proper divisors (6441580704).

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

2944056480 is a wasteful number, since it uses less digits than its factorization.

2944056480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73998 (or 73990 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2944056480 is about 54259.1603326111. The cubic root of 2944056480 is about 1433.2283136804.

The spelling of 2944056480 in words is "two billion, nine hundred forty-four million, fifty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 160 166 240 249 332 415 480 498 664 830 996 1245 1328 1660 1992 2490 2656 3320 3984 4980 6640 7968 9960 13280 19920 39840 73897 147794 221691 295588 369485 443382 591176 738970 886764 1108455 1182352 1477940 1773528 2216910 2364704 2955880 3547056 4433820 5911760 6133451 7094112 8867640 11823520 12266902 17735280 18400353 24533804 30667255 35470560 36800706 49067608 61334510 73601412 92001765 98135216 122669020 147202824 184003530 196270432 245338040 294405648 368007060 490676080 588811296 736014120 981352160 1472028240 2944056480