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2992696448 = 27717891867
BaseRepresentation
bin1011001001100000…
…1110110010000000
321201120021201202012
42302120032302000
522112112241243
61212543512052
7134106333350
oct26230166200
97646251665
102992696448
1112a6332155
126b62b8628
13389028101
14205664b60
15127aeed18
hexb260ec80

2992696448 has 64 divisors (see below), whose sum is σ = 6821188800. Its totient is φ = 1281180672.

The previous prime is 2992696429. The next prime is 2992696457. The reversal of 2992696448 is 8446962992.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1602011 + ... + 1603877.

It is an arithmetic number, because the mean of its divisors is an integer number (106581075).

Almost surely, 22992696448 is an apocalyptic number.

2992696448 is a gapful number since it is divisible by the number (28) 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 2992696448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410594400).

2992696448 is an abundant number, since it is smaller than the sum of its proper divisors (3828492352).

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

2992696448 is a wasteful number, since it uses less digits than its factorization.

2992696448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3665 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 59.

The square root of 2992696448 is about 54705.5431195048. The cubic root of 2992696448 is about 1441.0782253801.

The spelling of 2992696448 in words is "two billion, nine hundred ninety-two million, six hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1789 1867 3578 3734 7156 7468 12523 13069 14312 14936 25046 26138 28624 29872 50092 52276 57248 59744 100184 104552 114496 119488 200368 209104 228992 238976 400736 418208 801472 836416 1602944 1672832 3340063 6680126 13360252 23380441 26720504 46760882 53441008 93521764 106882016 187043528 213764032 374087056 427528064 748174112 1496348224 2992696448