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53376200 = 2352377213
BaseRepresentation
bin1100101110011…
…1010011001000
310201102210101022
43023213103020
5102131014300
65144012012
71215455513
oct313472310
9121383338
1053376200
1128147369
1215a61008
13b09b067
147135d7a
154a45285
hex32e74c8

53376200 has 48 divisors (see below), whose sum is σ = 127471380. Its totient is φ = 20770560.

The previous prime is 53376199. The next prime is 53376217. The reversal of 53376200 is 267335.

53376200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 40170244 + 13205956 = 6338^2 + 3634^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 53376200.

It is an unprimeable number.

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, 3794 + ... + 11006.

Almost surely, 253376200 is an apocalyptic number.

53376200 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 53376200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63735690).

53376200 is an abundant number, since it is smaller than the sum of its proper divisors (74095180).

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

53376200 is a wasteful number, since it uses less digits than its factorization.

53376200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266 (or 7257 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 53376200 is about 7305.9017239489. The cubic root of 53376200 is about 376.5152322401.

The spelling of 53376200 in words is "fifty-three million, three hundred seventy-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7213 7400 14426 28852 36065 57704 72130 144260 180325 266881 288520 360650 533762 721300 1067524 1334405 1442600 2135048 2668810 5337620 6672025 10675240 13344050 26688100 53376200