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3252256920 = 233451191253
BaseRepresentation
bin1100000111011001…
…1000000010011000
322101122200202210000
43001312120002120
523130034210140
61254415053000
7143410504413
oct30166300230
98348622700
103252256920
1114198a5840
12769211160
133caa372a3
1422bd0cb7a
151407c1a30
hexc1d98098

3252256920 has 160 divisors (see below), whose sum is σ = 11925072720. Its totient is φ = 788417280.

The previous prime is 3252256897. The next prime is 3252256937. The reversal of 3252256920 is 296522523.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9987 + ... + 81266.

Almost surely, 23252256920 is an apocalyptic number.

3252256920 is a gapful number since it is divisible by the number (30) 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 3252256920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962536360).

3252256920 is an abundant number, since it is smaller than the sum of its proper divisors (8672815800).

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

3252256920 is a wasteful number, since it uses less digits than its factorization.

3252256920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91287 (or 91274 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3252256920 is about 57028.5623174914. The cubic root of 3252256920 is about 1481.5908326410.

The spelling of 3252256920 in words is "three billion, two hundred fifty-two million, two hundred fifty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 35640 91253 182506 273759 365012 456265 547518 730024 821277 912530 1003783 1095036 1368795 1642554 1825060 2007566 2190072 2463831 2737590 3011349 3285108 3650120 4015132 4106385 4927662 5018915 5475180 6022698 6570216 7391493 8030264 8212770 9034047 9855324 10037830 10950360 12045396 12319155 14782986 15056745 16425540 18068094 19710648 20075660 24090792 24638310 27102141 29565972 30113490 32851080 36136188 36957465 40151320 45170235 49276620 54204282 59131944 60226980 72272376 73914930 81306423 90340470 98553240 108408564 120453960 135510705 147829860 162612846 180680940 216817128 271021410 295659720 325225692 361361880 406532115 542042820 650451384 813064230 1084085640 1626128460 3252256920