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53425200 = 243522112
BaseRepresentation
bin1100101111001…
…1010000110000
310201112021121010
43023303100300
5102134101300
65145030520
71216051413
oct313632060
9121467533
1053425200
1128180164
1215a85440
13b0b745a
147149b7a
154a54a50
hex32f3430

53425200 has 90 divisors (see below), whose sum is σ = 171953652. Its totient is φ = 14179200.

The previous prime is 53425199. The next prime is 53425201. The reversal of 53425200 is 252435.

It is an interprime number because it is at equal distance from previous prime (53425199) and next prime (53425201).

It is not an unprimeable number, because it can be changed into a prime (53425201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 253095 + ... + 253305.

Almost surely, 253425200 is an apocalyptic number.

53425200 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 53425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85976826).

53425200 is an abundant number, since it is smaller than the sum of its proper divisors (118528452).

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

53425200 is a wasteful number, since it uses less digits than its factorization.

53425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 53425200 is about 7309.2544079407. The cubic root of 53425200 is about 376.6304121874.

Multiplying 53425200 by its product of nonzero digits (1200), we get a square (64110240000 = 2532002).

53425200 divided by its product of nonzero digits (1200) gives a square (44521 = 2112).

Adding to 53425200 its reverse (252435), we get a palindrome (53677635).

The spelling of 53425200 in words is "fifty-three million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 211 240 300 400 422 600 633 844 1055 1200 1266 1688 2110 2532 3165 3376 4220 5064 5275 6330 8440 10128 10550 12660 15825 16880 21100 25320 31650 42200 44521 50640 63300 84400 89042 126600 133563 178084 222605 253200 267126 356168 445210 534252 667815 712336 890420 1068504 1113025 1335630 1780840 2137008 2226050 2671260 3339075 3561680 4452100 5342520 6678150 8904200 10685040 13356300 17808400 26712600 53425200