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55209696 = 2531913011
BaseRepresentation
bin1101001010011…
…0111011100000
310211212221110120
43102212323200
5103113202241
65251200240
71240163133
oct322467340
9124787416
1055209696
1129189953
12165a6080
13b590779
14749221a
154ca8666
hex34a6ee0

55209696 has 48 divisors (see below), whose sum is σ = 145732608. Its totient is φ = 18300800.

The previous prime is 55209673. The next prime is 55209719. The reversal of 55209696 is 69690255.

55209696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55209673) and next prime (55209719).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×552096962 = 6096221064824832, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 16831 + ... + 19841.

It is an arithmetic number, because the mean of its divisors is an integer number (3036096).

Almost surely, 255209696 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 55209696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72866304).

55209696 is an abundant number, since it is smaller than the sum of its proper divisors (90522912).

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

55209696 is a wasteful number, since it uses less digits than its factorization.

55209696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 55209696 is about 7430.3227386164. The cubic root of 55209696 is about 380.7779446068. Note that the first 3 decimals are identical.

The spelling of 55209696 in words is "fifty-five million, two hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 1146 1528 2292 3011 3056 4584 6022 6112 9033 9168 12044 18066 18336 24088 36132 48176 72264 96352 144528 289056 575101 1150202 1725303 2300404 3450606 4600808 6901212 9201616 13802424 18403232 27604848 55209696