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53082846 = 23219269577
BaseRepresentation
bin1100101001111…
…1101011011110
310200212212222100
43022133223132
5102042122341
65133425530
71213124325
oct312375336
9120785870
1053082846
1127a66a23
121593b2a6
13acc768b
14709b0bc
1549d83b6
hex329fade

53082846 has 48 divisors (see below), whose sum is σ = 121726800. Its totient is φ = 16671744.

The previous prime is 53082833. The next prime is 53082851. The reversal of 53082846 is 64828035.

53082846 is a `hidden beast` number, since 530 + 82 + 8 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53082846.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91710 + ... + 92286.

It is an arithmetic number, because the mean of its divisors is an integer number (2535975).

Almost surely, 253082846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53082846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60863400).

53082846 is an abundant number, since it is smaller than the sum of its proper divisors (68643954).

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

53082846 is a wasteful number, since it uses less digits than its factorization.

53082846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 53082846 is about 7285.7975541460. The cubic root of 53082846 is about 375.8241925572.

The spelling of 53082846 in words is "fifty-three million, eighty-two thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 269 342 538 577 807 1154 1614 1731 2421 3462 4842 5111 5193 10222 10386 10963 15333 21926 30666 32889 45999 65778 91998 98667 155213 197334 310426 465639 931278 1396917 2793834 2949047 5898094 8847141 17694282 26541423 53082846