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55957608 = 23337217311
BaseRepresentation
bin1101010101110…
…1100001101000
310220021221102000
43111131201220
5103311120413
65315211000
71246426500
oct325354150
9126257360
1055957608
112964a863
12168a6a60
13b793015
147608a00
154da5073
hex355d868

55957608 has 192 divisors, whose sum is σ = 192067200. Its totient is φ = 14999040.

The previous prime is 55957607. The next prime is 55957621. The reversal of 55957608 is 80675955.

55957608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55957607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 179773 + ... + 180083.

It is an arithmetic number, because the mean of its divisors is an integer number (1000350).

Almost surely, 255957608 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 55957608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96033600).

55957608 is an abundant number, since it is smaller than the sum of its proper divisors (136109592).

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

55957608 is a wasteful number, since it uses less digits than its factorization.

55957608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 55957608 is about 7480.4818026649. The cubic root of 55957608 is about 382.4896729238.

It can be divided in two parts, 55957 and 608, that added together give a palindrome (56565).

The spelling of 55957608 in words is "fifty-five million, nine hundred fifty-seven thousand, six hundred eight".