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88283120 = 245192412
BaseRepresentation
bin1010100001100…
…01011111110000
320011010020200012
411100301133300
5140100024440
612432114052
72121252122
oct520613760
9204106605
1088283120
1145919462
1225695928
13153a0643
14ba21212
157b3ce65
hex54317f0

88283120 has 60 divisors (see below), whose sum is σ = 216961560. Its totient is φ = 33315840.

The previous prime is 88283113. The next prime is 88283149. The reversal of 88283120 is 2138288.

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 11 ways as a sum of consecutive naturals, for example, 366200 + ... + 366440.

It is an arithmetic number, because the mean of its divisors is an integer number (3616026).

Almost surely, 288283120 is an apocalyptic number.

88283120 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 88283120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108480780).

88283120 is an abundant number, since it is smaller than the sum of its proper divisors (128678440).

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

88283120 is a wasteful number, since it uses less digits than its factorization.

88283120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 88283120 is about 9395.9097483958. The cubic root of 88283120 is about 445.2725175019.

The spelling of 88283120 in words is "eighty-eight million, two hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 241 304 380 482 760 964 1205 1520 1928 2410 3856 4579 4820 9158 9640 18316 19280 22895 36632 45790 58081 73264 91580 116162 183160 232324 290405 366320 464648 580810 929296 1103539 1161620 2207078 2323240 4414156 4646480 5517695 8828312 11035390 17656624 22070780 44141560 88283120