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53109966 = 23713211461
BaseRepresentation
bin1100101010011…
…0010011001110
310200221021011210
43022212103032
5102044004331
65134155250
71213266360
oct312462316
9120837153
1053109966
1127a85338
1215952b26
13b006b20
1470a6d30
1549e1446
hex32a64ce

53109966 has 64 divisors (see below), whose sum is σ = 131636736. Its totient is φ = 13910400.

The previous prime is 53109937. The next prime is 53109977. The reversal of 53109966 is 66990135.

53109966 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 (39).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 114976 + ... + 115436.

It is an arithmetic number, because the mean of its divisors is an integer number (2056824).

Almost surely, 253109966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53109966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65818368).

53109966 is an abundant number, since it is smaller than the sum of its proper divisors (78526770).

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

53109966 is a wasteful number, since it uses less digits than its factorization.

53109966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697.

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 53109966 is about 7287.6584716903. The cubic root of 53109966 is about 375.8881844593. Note that the first 3 decimals are identical.

The spelling of 53109966 in words is "fifty-three million, one hundred nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 211 273 422 461 546 633 922 1266 1383 1477 2743 2766 2954 3227 4431 5486 5993 6454 8229 8862 9681 11986 16458 17979 19201 19362 35958 38402 41951 57603 83902 97271 115206 125853 194542 251706 291813 583626 680897 1264523 1361794 2042691 2529046 3793569 4085382 7587138 8851661 17703322 26554983 53109966