Search a number
-
+
88129881 = 3272337593
BaseRepresentation
bin1010100000011…
…00000101011001
320010211110110200
411100030011121
5140030124011
612424532413
72120043300
oct520140531
9203743420
1088129881
1145824314
1225621109
1315348978
14b9c1437
157b0c856
hex540c159

88129881 has 36 divisors (see below), whose sum is σ = 148772052. Its totient is φ = 50125824.

The previous prime is 88129871. The next prime is 88129891. The reversal of 88129881 is 18892188.

It is an interprime number because it is at equal distance from previous prime (88129871) and next prime (88129891).

It can be written as a sum of positive squares in 2 ways, for example, as 38638656 + 49491225 = 6216^2 + 7035^2 .

It is not a de Polignac number, because 88129881 - 29 = 88129369 is a prime.

It is a super-2 number, since 2×881298812 = 15533751850148322, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88129861) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 148321 + ... + 148913.

It is an arithmetic number, because the mean of its divisors is an integer number (4132557).

Almost surely, 288129881 is an apocalyptic number.

It is an amenable number.

88129881 is a deficient number, since it is larger than the sum of its proper divisors (60642171).

88129881 is a wasteful number, since it uses less digits than its factorization.

88129881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 940 counting only the distinct ones).

The product of its digits is 73728, while the sum is 45.

The square root of 88129881 is about 9387.7516477589. The cubic root of 88129881 is about 445.0147383916.

The spelling of 88129881 in words is "eighty-eight million, one hundred twenty-nine thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 147 337 441 593 1011 1779 2359 3033 4151 5337 7077 12453 16513 21231 29057 37359 49539 87171 148617 199841 261513 599523 1398887 1798569 4196661 9792209 12589983 29376627 88129881