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538052200 = 23527715413
BaseRepresentation
bin100000000100100…
…000011001101000
31101111102212212021
4200010200121220
52100220132300
6125220154224
716222240210
oct4004403150
91344385767
10538052200
11256797644
12130238974
13876191aa
145165d240
1532382d1a
hex20120668

538052200 has 96 divisors (see below), whose sum is σ = 1450085760. Its totient is φ = 181843200.

The previous prime is 538052197. The next prime is 538052201. The reversal of 538052200 is 2250835.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (538052201) 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, 96694 + ... + 102106.

It is an arithmetic number, because the mean of its divisors is an integer number (15105060).

Almost surely, 2538052200 is an apocalyptic number.

538052200 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 538052200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725042880).

538052200 is an abundant number, since it is smaller than the sum of its proper divisors (912033560).

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

538052200 is a wasteful number, since it uses less digits than its factorization.

538052200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 538052200 is about 23195.9522330945. The cubic root of 538052200 is about 813.3450049088.

The spelling of 538052200 in words is "five hundred thirty-eight million, fifty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 71 100 140 142 175 200 280 284 350 355 497 568 700 710 994 1400 1420 1775 1988 2485 2840 3550 3976 4970 5413 7100 9940 10826 12425 14200 19880 21652 24850 27065 37891 43304 49700 54130 75782 99400 108260 135325 151564 189455 216520 270650 303128 378910 384323 541300 757820 768646 947275 1082600 1515640 1537292 1894550 1921615 2690261 3074584 3789100 3843230 5380522 7578200 7686460 9608075 10761044 13451305 15372920 19216150 21522088 26902610 38432300 53805220 67256525 76864600 107610440 134513050 269026100 538052200