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53429200 = 24521112143
BaseRepresentation
bin1100101111010…
…0001111010000
310201112111002021
43023310033100
5102134213300
65145101224
71216066156
oct313641720
9121474067
1053429200
1128183170
1215a87814
13b0b9216
14714b3d6
154a55d1a
hex32f43d0

53429200 has 60 divisors (see below), whose sum is σ = 140044608. Its totient is φ = 19427200.

The previous prime is 53429183. The next prime is 53429203. The reversal of 53429200 is 292435.

It is a happy number.

53429200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53429203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1672 + ... + 10471.

Almost surely, 253429200 is an apocalyptic number.

53429200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53429200 is an abundant number, since it is smaller than the sum of its proper divisors (86615408).

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

53429200 is a wasteful number, since it uses less digits than its factorization.

53429200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12172 (or 12161 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 53429200 is about 7309.5280285392. The cubic root of 53429200 is about 376.6398115224.

The spelling of 53429200 in words is "fifty-three million, four hundred twenty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 12143 24286 48572 60715 97144 121430 133573 194288 242860 267146 303575 485720 534292 607150 667865 971440 1068584 1214300 1335730 2137168 2428600 2671460 3339325 4857200 5342920 6678650 10685840 13357300 26714600 53429200