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2800868256 = 253229491683
BaseRepresentation
bin1010011011110001…
…1101101110100000
321020012022211221100
42212330131232200
521214010241011
61141532154400
7126256662444
oct24674355640
97205284840
102800868256
11120802085a
12662008a00
133583724c4
141c7dac824
15115d5bd56
hexa6f1dba0

2800868256 has 144 divisors (see below), whose sum is σ = 8268492960. Its totient is φ = 898275840.

The previous prime is 2800868249. The next prime is 2800868267. The reversal of 2800868256 is 6528680082.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4100491 + ... + 4101173.

It is an arithmetic number, because the mean of its divisors is an integer number (57420090).

Almost surely, 22800868256 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 2800868256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134246480).

2800868256 is an abundant number, since it is smaller than the sum of its proper divisors (5467624704).

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

2800868256 is a wasteful number, since it uses less digits than its factorization.

2800868256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2800868256 is about 52923.2298334106. The cubic root of 2800868256 is about 1409.6054184856.

The spelling of 2800868256 in words is "two billion, eight hundred million, eight hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 491 522 683 696 928 982 1044 1366 1392 1473 1964 2049 2088 2732 2784 2946 3928 4098 4176 4419 5464 5892 6147 7856 8196 8352 8838 10928 11784 12294 14239 15712 16392 17676 19807 21856 23568 24588 28478 32784 35352 39614 42717 47136 49176 56956 59421 65568 70704 79228 85434 98352 113912 118842 128151 141408 158456 170868 178263 196704 227824 237684 256302 316912 335353 341736 356526 455648 475368 512604 633824 670706 683472 713052 950736 1006059 1025208 1341412 1366944 1426104 1901472 2012118 2050416 2682824 2852208 3018177 4024236 4100832 5365648 5704416 6036354 8048472 9725237 10731296 12072708 16096944 19450474 24145416 29175711 32193888 38900948 48290832 58351422 77801896 87527133 96581664 116702844 155603792 175054266 233405688 311207584 350108532 466811376 700217064 933622752 1400434128 2800868256