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55531008 = 293413103
BaseRepresentation
bin1101001111010…
…1011000000000
310212111021020000
43103311120000
5103203443013
65302120000
71243001661
oct323653000
9125437200
1055531008
11293892a5
1216720000
13b673ab0
147537368
154d1d973
hex34f5600

55531008 has 200 divisors, whose sum is σ = 180228048. Its totient is φ = 16920576.

The previous prime is 55531001. The next prime is 55531009. The reversal of 55531008 is 80013555.

55531008 is a `hidden beast` number, since 5 + 553 + 100 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55531001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 539085 + ... + 539187.

Almost surely, 255531008 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 55531008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90114024).

55531008 is an abundant number, since it is smaller than the sum of its proper divisors (124697040).

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

55531008 is a wasteful number, since it uses less digits than its factorization.

55531008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 55531008 is about 7451.9130429709. The cubic root of 55531008 is about 381.5152060321.

It can be divided in two parts, 5553 and 1008, that added together give a 8-th power (6561 = 38).

The spelling of 55531008 in words is "fifty-five million, five hundred thirty-one thousand, eight".