Search a number
-
+
1025111808 = 2833721187
BaseRepresentation
bin111101000110011…
…111011100000000
32122102221002001000
4331012133130000
54044412034213
6245415412000
734255210110
oct7506373400
92572832030
101025111808
11486715746
12247384000
131344c0246
149a207040
155eee1c73
hex3d19f700

1025111808 has 144 divisors (see below), whose sum is σ = 3464661760. Its totient is φ = 292875264.

The previous prime is 1025111803. The next prime is 1025111809. The reversal of 1025111808 is 8081115201.

1025111808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025111803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37791 + ... + 58977.

Almost surely, 21025111808 is an apocalyptic number.

1025111808 is a gapful number since it is divisible by the number (18) 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 1025111808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732330880).

1025111808 is an abundant number, since it is smaller than the sum of its proper divisors (2439549952).

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

1025111808 is an equidigital number, since it uses as much as digits as its factorization.

1025111808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21219 (or 21199 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The square root of 1025111808 is about 32017.3672871459. The cubic root of 1025111808 is about 1008.3014971135.

The spelling of 1025111808 in words is "one billion, twenty-five million, one hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 21187 24192 42374 48384 63561 84748 127122 148309 169496 190683 254244 296618 338992 381366 444927 508488 572049 593236 677984 762732 889854 1016976 1144098 1186472 1334781 1355968 1525464 1779708 2033952 2288196 2372944 2669562 2711936 3050928 3559416 4004343 4067904 4576392 4745888 5339124 5423872 6101856 7118832 8008686 8135808 9152784 9491776 10678248 12203712 14237664 16017372 16271616 18305568 18983552 21356496 24407424 28475328 32034744 36611136 37967104 42712992 48814848 56950656 64069488 73222272 85425984 113901312 128138976 146444544 170851968 256277952 341703936 512555904 1025111808