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55704000 = 2635311211
BaseRepresentation
bin1101010001111…
…1100111000000
310212211001112010
43110133213000
5103230012000
65305532520
71244322222
oct324374700
9125731463
1055704000
1129497270
12167a4140
13b704761
147580412
154d54d50
hex351f9c0

55704000 has 224 divisors, whose sum is σ = 201606912. Its totient is φ = 13440000.

The previous prime is 55703971. The next prime is 55704023. The reversal of 55704000 is 40755.

55704000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 263895 + ... + 264105.

Almost surely, 255704000 is an apocalyptic number.

55704000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100803456).

55704000 is an abundant number, since it is smaller than the sum of its proper divisors (145902912).

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

55704000 is a wasteful number, since it uses less digits than its factorization.

55704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 55704000 is about 7463.5112380166. The cubic root of 55704000 is about 381.9109648769.

Adding to 55704000 its reverse (40755), we get a palindrome (55744755).

The spelling of 55704000 in words is "fifty-five million, seven hundred four thousand".