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53140096 = 271724421
BaseRepresentation
bin1100101010110…
…1101010000000
310200222210111201
43022231222000
5102100440341
65134550544
71213453252
oct312555200
9120883451
1053140096
1127aa5a39
1215968454
13b017759
1470b3cd2
1549ea331
hex32ada80

53140096 has 32 divisors (see below), whose sum is σ = 112096980. Its totient is φ = 25006080.

The previous prime is 53140091. The next prime is 53140099. The reversal of 53140096 is 69004135.

It can be written as a sum of positive squares in 2 ways, for example, as 50126400 + 3013696 = 7080^2 + 1736^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (53140091) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10035 + ... + 14386.

Almost surely, 253140096 is an apocalyptic number.

It is an amenable number.

53140096 is an abundant number, since it is smaller than the sum of its proper divisors (58956884).

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

53140096 is a wasteful number, since it uses less digits than its factorization.

53140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24452 (or 24440 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 53140096 is about 7289.7253720562. The cubic root of 53140096 is about 375.9592531671.

The spelling of 53140096 in words is "fifty-three million, one hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 24421 48842 97684 195368 390736 415157 781472 830314 1562944 1660628 3125888 3321256 6642512 13285024 26570048 53140096