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2992560048 = 2432171378923
BaseRepresentation
bin1011001001011110…
…1101011110110000
321201120000210122100
42302113231132300
522112043410143
61212540540400
7134105224602
oct26227553660
97646023570
102992560048
1112a6249725
126b6251700
13388caacba
1420562b172
15127ac46d3
hexb25ed7b0

2992560048 has 120 divisors (see below), whose sum is σ = 8933388048. Its totient is φ = 931885056.

The previous prime is 2992560023. The next prime is 2992560071. The reversal of 2992560048 is 8400652992.

It is a junction number, because it is equal to n+sod(n) for n = 2992559985 and 2992560012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330915 + ... + 339837.

Almost surely, 22992560048 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 2992560048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466694024).

2992560048 is an abundant number, since it is smaller than the sum of its proper divisors (5940828000).

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

2992560048 is a wasteful number, since it uses less digits than its factorization.

2992560048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9091 (or 9082 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2992560048 is about 54704.2964309020. The cubic root of 2992560048 is about 1441.0563314059.

The spelling of 2992560048 in words is "two billion, nine hundred ninety-two million, five hundred sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 137 144 153 204 272 274 306 408 411 548 612 816 822 1096 1224 1233 1644 2192 2329 2448 2466 3288 4658 4932 6576 6987 8923 9316 9864 13974 17846 18632 19728 20961 26769 27948 35692 37264 41922 53538 55896 71384 80307 83844 107076 111792 142768 151691 160614 167688 214152 303382 321228 335376 428304 455073 606764 642456 910146 1213528 1222451 1284912 1365219 1820292 2427056 2444902 2730438 3640584 3667353 4889804 5460876 7281168 7334706 9779608 10921752 11002059 14669412 19559216 20781667 21843504 22004118 29338824 41563334 44008236 58677648 62345001 83126668 88016472 124690002 166253336 176032944 187035003 249380004 332506672 374070006 498760008 748140012 997520016 1496280024 2992560048