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53752300 = 22527174517
BaseRepresentation
bin1100110100001…
…1000111101100
310202010220021221
43031003013230
5102230033200
65200033124
71221613150
oct315030754
9122126257
1053752300
1128383998
12160027a4
13b1a02c4
1471d3060
154abb91a
hex33431ec

53752300 has 72 divisors (see below), whose sum is σ = 141178464. Its totient is φ = 17341440.

The previous prime is 53752297. The next prime is 53752319. The reversal of 53752300 is 325735.

53752300 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 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 23 ways as a sum of consecutive naturals, for example, 9642 + ... + 14158.

It is an arithmetic number, because the mean of its divisors is an integer number (1960812).

Almost surely, 253752300 is an apocalyptic number.

53752300 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 53752300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70589232).

53752300 is an abundant number, since it is smaller than the sum of its proper divisors (87426164).

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

53752300 is a wasteful number, since it uses less digits than its factorization.

53752300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 25.

The square root of 53752300 is about 7331.5960063277. The cubic root of 53752300 is about 377.3974985949.

The spelling of 53752300 in words is "fifty-three million, seven hundred fifty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 4517 5950 9034 11900 18068 22585 31619 45170 63238 76789 90340 112925 126476 153578 158095 225850 307156 316190 383945 451700 537523 632380 767890 790475 1075046 1535780 1580950 1919725 2150092 2687615 3161900 3839450 5375230 7678900 10750460 13438075 26876150 53752300