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55696320 = 2632583233
BaseRepresentation
bin1101010001110…
…1101111000000
310212210122222200
43110131233000
5103224240240
65305433200
71244260641
oct324355700
9125718880
1055696320
1129491519
121679b800
13b701104
14757b6c8
154d52930
hex351dbc0

55696320 has 168 divisors, whose sum is σ = 194712336. Its totient is φ = 14610432.

The previous prime is 55696283. The next prime is 55696351. The reversal of 55696320 is 2369655.

55696320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×556963203 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 238924 + ... + 239156.

It is an arithmetic number, because the mean of its divisors is an integer number (1159002).

Almost surely, 255696320 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 55696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97356168).

55696320 is an abundant number, since it is smaller than the sum of its proper divisors (139016016).

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

55696320 is a wasteful number, since it uses less digits than its factorization.

55696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 55696320 is about 7462.9967171372. The cubic root of 55696320 is about 381.8934125107.

The spelling of 55696320 in words is "fifty-five million, six hundred ninety-six thousand, three hundred twenty".