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875218080 = 253511237207
BaseRepresentation
bin110100001010101…
…100010010100000
32020222212200111110
4310022230102200
53243023434310
6222502543320
730455142132
oct6412542240
92228780443
10875218080
1140a046330
12205137b40
1310c42a829
1484349052
1551c83d20
hex342ac4a0

875218080 has 192 divisors, whose sum is σ = 3138766848. Its totient is φ = 202920960.

The previous prime is 875218049. The next prime is 875218093. The reversal of 875218080 is 80812578.

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 31 ways as a sum of consecutive naturals, for example, 117837 + ... + 125043.

It is an arithmetic number, because the mean of its divisors is an integer number (16347744).

Almost surely, 2875218080 is an apocalyptic number.

875218080 is a gapful number since it is divisible by the number (80) 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 875218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569383424).

875218080 is an abundant number, since it is smaller than the sum of its proper divisors (2263548768).

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

875218080 is a wasteful number, since it uses less digits than its factorization.

875218080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259 (or 7251 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 875218080 is about 29584.0849106407. The cubic root of 875218080 is about 956.5450461251.

The spelling of 875218080 in words is "eight hundred seventy-five million, two hundred eighteen thousand, eighty".