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88083288 = 2334181751
BaseRepresentation
bin1010100000000…
…00101101011000
320010202002120000
411100000231120
5140022131123
612423533000
72116460406
oct520005530
9203662500
1088083288
11457a2307
12255ba160
13153306b7
14b9ac476
157aedb43
hex5400b58

88083288 has 80 divisors (see below), whose sum is σ = 248408160. Its totient is φ = 29160000.

The previous prime is 88083277. The next prime is 88083299. The reversal of 88083288 is 88238088.

It is an interprime number because it is at equal distance from previous prime (88083277) and next prime (88083299).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116913 + ... + 117663.

It is an arithmetic number, because the mean of its divisors is an integer number (3105102).

Almost surely, 288083288 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 88083288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124204080).

88083288 is an abundant number, since it is smaller than the sum of its proper divisors (160324872).

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

88083288 is a wasteful number, since it uses less digits than its factorization.

88083288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 88083288 is about 9385.2697350689. The cubic root of 88083288 is about 444.9363002707.

The spelling of 88083288 in words is "eighty-eight million, eighty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 181 216 324 362 543 648 724 751 1086 1448 1502 1629 2172 2253 3004 3258 4344 4506 4887 6008 6516 6759 9012 9774 13032 13518 14661 18024 19548 20277 27036 29322 39096 40554 54072 58644 60831 81108 117288 121662 135931 162216 243324 271862 407793 486648 543724 815586 1087448 1223379 1631172 2446758 3262344 3670137 4893516 7340274 9787032 11010411 14680548 22020822 29361096 44041644 88083288