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53780000 = 25542689
BaseRepresentation
bin1100110100100…
…1111000100000
310202012022021212
43031021320200
5102231430000
65200405252
71222060001
oct315117040
9122168255
1053780000
11283a278a
1216016828
13b1acab1
1471dd1a8
154ac4c35
hex3349e20

53780000 has 60 divisors (see below), whose sum is σ = 132356070. Its totient is φ = 21504000.

The previous prime is 53779997. The next prime is 53780033. The reversal of 53780000 is 8735.

It can be written as a sum of positive squares in 5 ways, for example, as 1882384 + 51897616 = 1372^2 + 7204^2 .

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 9 ways as a sum of consecutive naturals, for example, 18656 + ... + 21344.

Almost surely, 253780000 is an apocalyptic number.

53780000 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 53780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66178035).

53780000 is an abundant number, since it is smaller than the sum of its proper divisors (78576070).

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

53780000 is an equidigital number, since it uses as much as digits as its factorization.

53780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 53780000 is about 7333.4848469196. The cubic root of 53780000 is about 377.4623151423.

Adding to 53780000 its reverse (8735), we get a palindrome (53788735).

The spelling of 53780000 in words is "fifty-three million, seven hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 2689 4000 5000 5378 10000 10756 13445 20000 21512 26890 43024 53780 67225 86048 107560 134450 215120 268900 336125 430240 537800 672250 1075600 1344500 1680625 2151200 2689000 3361250 5378000 6722500 10756000 13445000 26890000 53780000