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255896496 = 243771103
BaseRepresentation
bin11110100000010…
…10101110110000
3122211111220000000
433100022232300
51011002141441
641220430000
76225040632
oct1720125660
9584456000
10255896496
111214a0909
1271848300
134102855b
1425db2a52
15176eb2b6
hexf40abb0

255896496 has 160 divisors (see below), whose sum is σ = 761379840. Its totient is φ = 83280960.

The previous prime is 255896489. The next prime is 255896497. The reversal of 255896496 is 694698552.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (255896497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2484381 + ... + 2484483.

It is an arithmetic number, because the mean of its divisors is an integer number (4758624).

Almost surely, 2255896496 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 255896496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380689920).

255896496 is an abundant number, since it is smaller than the sum of its proper divisors (505483344).

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

255896496 is an equidigital number, since it uses as much as digits as its factorization.

255896496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 255896496 is about 15996.7651729967. The cubic root of 255896496 is about 634.8748351067.

The spelling of 255896496 in words is "two hundred fifty-five million, eight hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 103 108 142 144 162 206 213 216 243 284 309 324 412 426 432 486 568 618 639 648 729 824 852 927 972 1136 1236 1278 1296 1458 1648 1704 1854 1917 1944 2187 2472 2556 2781 2916 3408 3708 3834 3888 4374 4944 5112 5562 5751 5832 7313 7416 7668 8343 8748 10224 11124 11502 11664 14626 14832 15336 16686 17253 17496 21939 22248 23004 25029 29252 30672 33372 34506 34992 43878 44496 46008 50058 51759 58504 65817 66744 69012 75087 87756 92016 100116 103518 117008 131634 133488 138024 150174 155277 175512 197451 200232 207036 225261 263268 276048 300348 310554 351024 394902 400464 414072 450522 526536 592353 600696 621108 789804 828144 901044 1053072 1184706 1201392 1242216 1579608 1777059 1802088 2369412 2484432 3159216 3554118 3604176 4738824 5331177 7108236 9477648 10662354 14216472 15993531 21324708 28432944 31987062 42649416 63974124 85298832 127948248 255896496