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8089225984 = 287191931231
BaseRepresentation
bin1111000100010011…
…11100101100000000
3202212202022020221101
413202021330230000
5113031320212414
63414404104144
7404313200140
oct74211745400
922782266841
108089225984
113481180234
121699095054
139bbb83968
1456a492920
15325272a74
hex1e227cb00

8089225984 has 144 divisors (see below), whose sum is σ = 19541294080. Its totient is φ = 3264675840.

The previous prime is 8089225981. The next prime is 8089225987. The reversal of 8089225984 is 4895229808.

It is an interprime number because it is at equal distance from previous prime (8089225981) and next prime (8089225987).

It is not an unprimeable number, because it can be changed into a prime (8089225981) 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, 6570649 + ... + 6571879.

Almost surely, 28089225984 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 8089225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9770647040).

8089225984 is an abundant number, since it is smaller than the sum of its proper divisors (11452068096).

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

8089225984 is a wasteful number, since it uses less digits than its factorization.

8089225984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The square root of 8089225984 is about 89940.1244384285. The cubic root of 8089225984 is about 2007.4080253681.

The spelling of 8089225984 in words is "eight billion, eighty-nine million, two hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 193 224 256 266 304 386 448 532 608 772 896 1064 1216 1231 1351 1544 1792 2128 2432 2462 2702 3088 3667 4256 4864 4924 5404 6176 7334 8512 8617 9848 10808 12352 14668 17024 17234 19696 21616 23389 24704 25669 29336 34048 34468 39392 43232 46778 49408 51338 58672 68936 78784 86464 93556 102676 117344 137872 157568 163723 172928 187112 205352 234688 237583 275744 315136 327446 345856 374224 410704 469376 475166 551488 654892 748448 821408 938752 950332 1102976 1309784 1496896 1642816 1663081 1900664 2205952 2619568 2993792 3285632 3326162 3801328 4514077 5239136 5987584 6571264 6652324 7602656 9028154 10478272 13304648 15205312 18056308 20956544 26609296 30410624 31598539 36112616 41913088 53218592 60821248 63197078 72225232 106437184 126394156 144450464 212874368 252788312 288900928 425748736 505576624 577801856 1011153248 1155603712 2022306496 4044612992 8089225984