Search a number
-
+
88107864 = 233131989167
BaseRepresentation
bin1010100000001…
…10101101011000
320010210100021020
411100012231120
5140023422424
612424242440
72116622145
oct520065530
9203710236
1088107864
1145809819
1225610420
131533b940
14b9b73cc
157b06079
hex5406b58

88107864 has 128 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 25242624.

The previous prime is 88107863. The next prime is 88107869. The reversal of 88107864 is 46870188.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88107863) by changing a digit.

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, 527509 + ... + 527675.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 288107864 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 88107864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

88107864 is an abundant number, since it is smaller than the sum of its proper divisors (165908136).

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

88107864 is a wasteful number, since it uses less digits than its factorization.

88107864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 88107864 is about 9386.5789295142. The cubic root of 88107864 is about 444.9776767828.

The spelling of 88107864 in words is "eighty-eight million, one hundred seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 89 104 114 152 156 167 178 228 247 267 312 334 356 456 494 501 534 668 712 741 988 1002 1068 1157 1336 1482 1691 1976 2004 2136 2171 2314 2964 3173 3382 3471 4008 4342 4628 5073 5928 6346 6513 6764 6942 8684 9256 9519 10146 12692 13026 13528 13884 14863 17368 19038 20292 21983 25384 26052 27768 29726 38076 40584 41249 43966 44589 52104 59452 65949 76152 82498 87932 89178 118904 123747 131898 164996 175864 178356 193219 247494 263796 282397 329992 356712 386438 494988 527592 564794 579657 772876 847191 989976 1129588 1159314 1545752 1694382 2259176 2318628 3388764 3671161 4637256 6777528 7342322 11013483 14684644 22026966 29369288 44053932 88107864