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3252988000 = 2553292967
BaseRepresentation
bin1100000111100100…
…1010100001100000
322101201001220122001
43001321022201200
523130231104000
61254442453344
7143416641013
oct30171124140
98351056561
103252988000
11141a255039
12769504254
133cac31c92
1422c05d37a
151408b846a
hexc1e4a860

3252988000 has 144 divisors (see below), whose sum is σ = 8286261984. Its totient is φ = 1255027200.

The previous prime is 3252987973. The next prime is 3252988001. The reversal of 3252988000 is 8892523.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3252988001) 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, 3363517 + ... + 3364483.

It is an arithmetic number, because the mean of its divisors is an integer number (57543486).

Almost surely, 23252988000 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 3252988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143130992).

3252988000 is an abundant number, since it is smaller than the sum of its proper divisors (5033273984).

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

3252988000 is an equidigital number, since it uses as much as digits as its factorization.

3252988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 3252988000 is about 57034.9717278794. The cubic root of 3252988000 is about 1481.7018407093.

The spelling of 3252988000 in words is "three billion, two hundred fifty-two million, nine hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 841 928 967 1000 1160 1450 1682 1934 2000 2320 2900 3364 3625 3868 4000 4205 4640 4835 5800 6728 7250 7736 8410 9670 11600 13456 14500 15472 16820 19340 21025 23200 24175 26912 28043 29000 30944 33640 38680 42050 48350 56086 58000 67280 77360 84100 96700 105125 112172 116000 120875 134560 140215 154720 168200 193400 210250 224344 241750 280430 336400 386800 420500 448688 483500 560860 672800 701075 773600 813247 841000 897376 967000 1121720 1402150 1626494 1682000 1934000 2243440 2804300 3252988 3364000 3505375 3868000 4066235 4486880 5608600 6505976 7010750 8132470 11217200 13011952 14021500 16264940 20331175 22434400 26023904 28043000 32529880 40662350 56086000 65059760 81324700 101655875 112172000 130119520 162649400 203311750 325298800 406623500 650597600 813247000 1626494000 3252988000