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53983104 = 2737219151
BaseRepresentation
bin1100110111101…
…1011110000000
310202120121220020
43031323132000
5102304424404
65205013440
71223564100
oct315733600
9122517806
1053983104
112852133a
12160b4280
13b251386
147253200
154b14ed9
hex337b780

53983104 has 192 divisors, whose sum is σ = 176745600. Its totient is φ = 14515200.

The previous prime is 53983091. The next prime is 53983133. The reversal of 53983104 is 40138935.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357429 + ... + 357579.

It is an arithmetic number, because the mean of its divisors is an integer number (920550).

Almost surely, 253983104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88372800).

53983104 is an abundant number, since it is smaller than the sum of its proper divisors (122762496).

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

53983104 is a wasteful number, since it uses less digits than its factorization.

53983104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 53983104 is about 7347.3195112231. The cubic root of 53983104 is about 377.9368893265.

The spelling of 53983104 in words is "fifty-three million, nine hundred eighty-three thousand, one hundred four".