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537220400 = 245217199397
BaseRepresentation
bin100000000001010…
…101010100110000
31101102212121211212
4200001111110300
52100012023100
6125150255252
716212204143
oct4001252460
91342777755
10537220400
11256279702
1212bab7528
13873b76c2
14514c405a
153226b635
hex20055530

537220400 has 120 divisors (see below), whose sum is σ = 1376920800. Its totient is φ = 200724480.

The previous prime is 537220399. The next prime is 537220403. The reversal of 537220400 is 4022735.

It is not an unprimeable number, because it can be changed into a prime (537220403) 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, 1353002 + ... + 1353398.

It is an arithmetic number, because the mean of its divisors is an integer number (11474340).

Almost surely, 2537220400 is an apocalyptic number.

537220400 is a gapful number since it is divisible by the number (50) 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 537220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688460400).

537220400 is an abundant number, since it is smaller than the sum of its proper divisors (839700400).

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

537220400 is a wasteful number, since it uses less digits than its factorization.

537220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 537220400 is about 23178.0154456761. The cubic root of 537220400 is about 812.9256594087.

The spelling of 537220400 in words is "five hundred thirty-seven million, two hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 199 200 272 340 397 398 400 425 680 794 796 850 995 1360 1588 1592 1700 1985 1990 3176 3184 3383 3400 3970 3980 4975 6352 6749 6766 6800 7940 7960 9925 9950 13498 13532 15880 15920 16915 19850 19900 26996 27064 31760 33745 33830 39700 39800 53992 54128 67490 67660 79003 79400 79600 84575 107984 134980 135320 158006 158800 168725 169150 269960 270640 316012 337450 338300 395015 539920 632024 674900 676600 790030 1264048 1343051 1349800 1353200 1580060 1975075 2686102 2699600 3160120 3950150 5372204 6320240 6715255 7900300 10744408 13430510 15800600 21488816 26861020 31601200 33576275 53722040 67152550 107444080 134305100 268610200 537220400