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53292000 = 253534441
BaseRepresentation
bin1100101101001…
…0101111100000
310201021111212210
43023102233200
5102120321000
65142122120
71214655156
oct313225740
9121244783
1053292000
112809a083
1215a20340
13b06b938
1471133d6
154a2a350
hex32d2be0

53292000 has 96 divisors (see below), whose sum is σ = 174623904. Its totient is φ = 14208000.

The previous prime is 53291999. The next prime is 53292023. The reversal of 53292000 is 29235.

53292000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9780 + ... + 14220.

It is an arithmetic number, because the mean of its divisors is an integer number (1818999).

Almost surely, 253292000 is an apocalyptic number.

53292000 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 53292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87311952).

53292000 is an abundant number, since it is smaller than the sum of its proper divisors (121331904).

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

53292000 is a wasteful number, since it uses less digits than its factorization.

53292000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 53292000 is about 7300.1369850161. The cubic root of 53292000 is about 376.3171460315.

The spelling of 53292000 in words is "fifty-three million, two hundred ninety-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 4441 6000 8882 12000 13323 17764 22205 26646 35528 44410 53292 66615 71056 88820 106584 111025 133230 142112 177640 213168 222050 266460 333075 355280 426336 444100 532920 555125 666150 710560 888200 1065840 1110250 1332300 1665375 1776400 2131680 2220500 2664600 3330750 3552800 4441000 5329200 6661500 8882000 10658400 13323000 17764000 26646000 53292000