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53780144 = 2411227779
BaseRepresentation
bin1100110100100…
…1111010110000
310202012022111012
43031021322300
5102231431034
65200410052
71222060265
oct315117260
9122168435
1053780144
11283a2900
1216016928
13b1acb92
1471dd26c
154ac4cce
hex3349eb0

53780144 has 30 divisors (see below), whose sum is σ = 114536940. Its totient is φ = 24444640.

The previous prime is 53780137. The next prime is 53780147. The reversal of 53780144 is 44108735.

53780144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 53780144.

It is not an unprimeable number, because it can be changed into a prime (53780147) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 11954 + ... + 15825.

It is an arithmetic number, because the mean of its divisors is an integer number (3817898).

Almost surely, 253780144 is an apocalyptic number.

It is an amenable number.

53780144 is an abundant number, since it is smaller than the sum of its proper divisors (60756796).

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

53780144 is a wasteful number, since it uses less digits than its factorization.

53780144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27809 (or 27792 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 53780144 is about 7333.4946648920. The cubic root of 53780144 is about 377.4626520366.

Adding to 53780144 its reverse (44108735), we get a palindrome (97888879).

The spelling of 53780144 in words is "fifty-three million, seven hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 27779 55558 111116 222232 305569 444464 611138 1222276 2444552 3361259 4889104 6722518 13445036 26890072 53780144