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53412200 = 2352299209
BaseRepresentation
bin1100101111000…
…0000101101000
310201111121202122
43023300011220
5102133142300
65144450412
71215665462
oct313600550
9121447678
1053412200
1128171416
1215a79a08
13b0b156a
147145132
154a50c85
hex32f0168

53412200 has 48 divisors (see below), whose sum is σ = 128479500. Its totient is φ = 20625920.

The previous prime is 53412131. The next prime is 53412223. The reversal of 53412200 is 221435.

It can be written as a sum of positive squares in 6 ways, for example, as 10666756 + 42745444 = 3266^2 + 6538^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1196 + ... + 10404.

Almost surely, 253412200 is an apocalyptic number.

53412200 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 53412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64239750).

53412200 is an abundant number, since it is smaller than the sum of its proper divisors (75067300).

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

53412200 is a wasteful number, since it uses less digits than its factorization.

53412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9254 (or 9245 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 53412200 is about 7308.3650702466. The cubic root of 53412200 is about 376.5998611083.

Adding to 53412200 its reverse (221435), we get a palindrome (53633635).

The spelling of 53412200 in words is "fifty-three million, four hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 9209 18418 36836 46045 73672 92090 184180 230225 267061 368360 460450 534122 920900 1068244 1335305 1841800 2136488 2670610 5341220 6676525 10682440 13353050 26706100 53412200