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755205248 = 27723472
BaseRepresentation
bin101101000000111…
…000010010000000
31221122001101211202
4231000320102000
53021313031443
6202534400332
724500065400
oct5500702200
91848041752
10755205248
11358325976
12190b000a8
13c05cab15
1472428800
15464797b8
hex2d038480

755205248 has 72 divisors (see below), whose sum is σ = 1755202995. Its totient is φ = 322726656.

The previous prime is 755205247. The next prime is 755205257. The reversal of 755205248 is 842502557.

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 only one way, i.e., 377602624 + 377602624 = 19432^2 + 19432^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=19432.

It is not an unprimeable number, because it can be changed into a prime (755205247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2176211 + ... + 2176557.

Almost surely, 2755205248 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 755205248

755205248 is an abundant number, since it is smaller than the sum of its proper divisors (999997747).

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

755205248 is an frugal number, since it uses more digits than its factorization.

755205248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 38.

The square root of 755205248 is about 27480.9979440340. The cubic root of 755205248 is about 910.6573554075.

The spelling of 755205248 in words is "seven hundred fifty-five million, two hundred five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 347 392 448 694 784 896 1388 1568 2429 2776 3136 4858 5552 6272 9716 11104 17003 19432 22208 34006 38864 44416 68012 77728 120409 136024 155456 240818 272048 310912 481636 544096 842863 963272 1088192 1685726 1926544 2176384 3371452 3853088 5900041 6742904 7706176 11800082 13485808 15412352 23600164 26971616 47200328 53943232 94400656 107886464 188801312 377602624 755205248