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55125840 = 243571119157
BaseRepresentation
bin1101001001001…
…0011101010000
310211201200102210
43102102131100
5103103011330
65245312120
71236363510
oct322223520
9124650383
1055125840
1129131950
1216565640
13b561553
14746d840
154c8d8b0
hex3492750

55125840 has 320 divisors, whose sum is σ = 225699840. Its totient is φ = 10782720.

The previous prime is 55125827. The next prime is 55125857. The reversal of 55125840 is 4852155.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 55125798 and 55125807.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 351042 + ... + 351198.

It is an arithmetic number, because the mean of its divisors is an integer number (705312).

Almost surely, 255125840 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 55125840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112849920).

55125840 is an abundant number, since it is smaller than the sum of its proper divisors (170574000).

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

55125840 is a wasteful number, since it uses less digits than its factorization.

55125840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 55125840 is about 7424.6777707857. The cubic root of 55125840 is about 380.5850636619.

Adding to 55125840 its reverse (4852155), we get a palindrome (59977995).

The spelling of 55125840 in words is "fifty-five million, one hundred twenty-five thousand, eight hundred forty".