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88108384 = 2571379383
BaseRepresentation
bin1010100000001…
…10110101100000
320010210100222111
411100012311200
5140023432014
612424245104
72116623520
oct520066540
9203710874
1088108384
114580a151
1225610794
131533bc50
14b9b7680
157b062c4
hex5406d60

88108384 has 96 divisors (see below), whose sum is σ = 216760320. Its totient is φ = 34324992.

The previous prime is 88108379. The next prime is 88108387. The reversal of 88108384 is 48380188.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88108387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229857 + ... + 230239.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920).

Almost surely, 288108384 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 88108384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108380160).

88108384 is an abundant number, since it is smaller than the sum of its proper divisors (128651936).

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

88108384 is a wasteful number, since it uses less digits than its factorization.

88108384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 88108384 is about 9386.6066285959. The cubic root of 88108384 is about 444.9785521793.

The spelling of 88108384 in words is "eighty-eight million, one hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 79 91 104 112 158 182 208 224 316 364 383 416 553 632 728 766 1027 1106 1264 1456 1532 2054 2212 2528 2681 2912 3064 4108 4424 4979 5362 6128 7189 8216 8848 9958 10724 12256 14378 16432 17696 19916 21448 28756 30257 32864 34853 39832 42896 57512 60514 69706 79664 85792 115024 121028 139412 159328 211799 230048 242056 278824 393341 423598 484112 557648 786682 847196 968224 1115296 1573364 1694392 2753387 3146728 3388784 5506774 6293456 6777568 11013548 12586912 22027096 44054192 88108384