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875272288 = 25112818849
BaseRepresentation
bin110100001010111…
…001100001100000
32020222222102212011
4310022321201200
53243032203123
6222504042304
730455456152
oct6412714140
92228872764
10875272288
1140a083030
12205163394
1310c4493c7
1484360ad2
1551c94e0d
hex342b9860

875272288 has 48 divisors (see below), whose sum is σ = 1886749200. Its totient is φ = 396390400.

The previous prime is 875272271. The next prime is 875272303. The reversal of 875272288 is 882272578.

It is a super-2 number, since 2×8752722882 = 1532203156281509888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94488 + ... + 103336.

It is an arithmetic number, because the mean of its divisors is an integer number (39307275).

Almost surely, 2875272288 is an apocalyptic number.

875272288 is a gapful number since it is divisible by the number (88) 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 875272288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943374600).

875272288 is an abundant number, since it is smaller than the sum of its proper divisors (1011476912).

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

875272288 is a wasteful number, since it uses less digits than its factorization.

875272288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9151 (or 9143 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 49.

The square root of 875272288 is about 29585.0010647287. The cubic root of 875272288 is about 956.5647940883.

The spelling of 875272288 in words is "eight hundred seventy-five million, two hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 281 352 562 1124 2248 3091 4496 6182 8849 8992 12364 17698 24728 35396 49456 70792 97339 98912 141584 194678 283168 389356 778712 1557424 2486569 3114848 4973138 9946276 19892552 27352259 39785104 54704518 79570208 109409036 218818072 437636144 875272288