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1089238752 = 2535720011
BaseRepresentation
bin100000011101100…
…0111011011100000
32210220121001200000
41000323013123200
54212321120002
6300030100000
735664243120
oct10073073340
92726531600
101089238752
11509935218
1226494a600
13144883794
14a493ac80
156595c61c
hex40ec76e0

1089238752 has 144 divisors (see below), whose sum is σ = 3671321472. Its totient is φ = 311195520.

The previous prime is 1089238747. The next prime is 1089238757. The reversal of 1089238752 is 2578329801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1089238747) and next prime (1089238757).

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

It is a junction number, because it is equal to n+sod(n) for n = 1089238698 and 1089238707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089238757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44427 + ... + 64437.

It is an arithmetic number, because the mean of its divisors is an integer number (25495288).

Almost surely, 21089238752 is an apocalyptic number.

1089238752 is a gapful number since it is divisible by the number (12) 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 1089238752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835660736).

1089238752 is an abundant number, since it is smaller than the sum of its proper divisors (2582082720).

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

1089238752 is an equidigital number, since it uses as much as digits as its factorization.

1089238752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20043 (or 20023 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1089238752 is about 33003.6172562948. The cubic root of 1089238752 is about 1028.9028289273.

The spelling of 1089238752 in words is "one billion, eighty-nine million, two hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 20011 27216 40022 54432 60033 80044 120066 140077 160088 180099 240132 280154 320176 360198 420231 480264 540297 560308 640352 720396 840462 960528 1080594 1120616 1260693 1440792 1620891 1680924 1921056 2161188 2241232 2521386 2881584 3241782 3361848 3782079 4322376 4482464 4862673 5042772 5763168 6483564 6723696 7564158 8644752 9725346 10085544 11346237 12967128 13447392 15128316 17289504 19450692 20171088 22692474 25934256 30256632 34038711 38901384 40342176 45384948 51868512 60513264 68077422 77802768 90769896 121026528 136154844 155605536 181539792 272309688 363079584 544619376 1089238752