Search a number
-
+
296228281472 = 277326592
BaseRepresentation
bin1000100111110001001…
…01001101110010000000
31001022121122202212121022
410103320211031302000
514323133420001342
6344030240045012
730254545563404
oct4237045156200
91038548685538
10296228281472
111046a2162352
12494b2303768
1321c1b5b71b6
14104a2253104
157a8b4cc9d2
hex44f894dc80

296228281472 has 72 divisors (see below), whose sum is σ = 599246486865. Its totient is φ = 145863502848.

The previous prime is 296228281441. The next prime is 296228281487. The reversal of 296228281472 is 274182822692.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 294866376256 + 1361905216 = 543016^2 + 36904^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=384856.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 449511479 + ... + 449512137.

Almost surely, 2296228281472 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 296228281472

296228281472 is an abundant number, since it is smaller than the sum of its proper divisors (303018205393).

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

296228281472 is an frugal number, since it uses more digits than its factorization.

296228281472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 734 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 53.

The spelling of 296228281472 in words is "two hundred ninety-six billion, two hundred twenty-eight million, two hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 659 1168 1318 2336 2636 4672 5272 5329 9344 10544 10658 21088 21316 42176 42632 48107 84352 85264 96214 170528 192428 341056 384856 434281 682112 769712 868562 1539424 1737124 3078848 3474248 3511811 6157696 6948496 7023622 13896992 14047244 27793984 28094488 31702513 55587968 56188976 63405026 112377952 126810052 224755904 253620104 449511808 507240208 1014480416 2028960832 2314283449 4057921664 4628566898 9257133796 18514267592 37028535184 74057070368 148114140736 296228281472