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53342100 = 22325278467
BaseRepresentation
bin1100101101111…
…0111110010100
310201101001121100
43023132332110
5102123421400
65143150100
71215254220
oct313367624
9121331540
1053342100
1128123789
1215a45330
13b088696
147127780
154a3a100
hex32def94

53342100 has 108 divisors (see below), whose sum is σ = 191105824. Its totient is φ = 12191040.

The previous prime is 53342099. The next prime is 53342119. The reversal of 53342100 is 124335.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2067 + ... + 10533.

Almost surely, 253342100 is an apocalyptic number.

53342100 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 53342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95552912).

53342100 is an abundant number, since it is smaller than the sum of its proper divisors (137763724).

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

53342100 is a wasteful number, since it uses less digits than its factorization.

53342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8494 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53342100 is about 7303.5676213752. The cubic root of 53342100 is about 376.4350347954.

Adding to 53342100 its reverse (124335), we get a palindrome (53466435).

The spelling of 53342100 in words is "fifty-three million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 8467 16934 25401 33868 42335 50802 59269 76203 84670 101604 118538 127005 152406 169340 177807 211675 237076 254010 296345 304812 355614 381015 423350 508020 533421 592690 635025 711228 762030 846700 889035 1066842 1185380 1270050 1481725 1524060 1778070 1905075 2133684 2540100 2667105 2963450 3556140 3810150 4445175 5334210 5926900 7620300 8890350 10668420 13335525 17780700 26671050 53342100