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88113132 = 22323783797
BaseRepresentation
bin1010100000001…
…11111111101100
320010210121111100
411100013333230
5140024110012
612424323100
72116643412
oct520077754
9203717440
1088113132
1145812778
1225613490
1315341163
14b9b92b2
157b078dc
hex5407fec

88113132 has 72 divisors (see below), whose sum is σ = 231796656. Its totient is φ = 28197504.

The previous prime is 88113131. The next prime is 88113139. The reversal of 88113132 is 23131188.

It is a junction number, because it is equal to n+sod(n) for n = 88113096 and 88113105.

It is not an unprimeable number, because it can be changed into a prime (88113131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110158 + ... + 110954.

It is an arithmetic number, because the mean of its divisors is an integer number (3219398).

Almost surely, 288113132 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 88113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115898328).

88113132 is an abundant number, since it is smaller than the sum of its proper divisors (143683524).

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

88113132 is a wasteful number, since it uses less digits than its factorization.

88113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 922 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 88113132 is about 9386.8595387382. The cubic root of 88113132 is about 444.9865450630.

The spelling of 88113132 in words is "eighty-eight million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 83 111 148 166 222 249 332 333 444 498 666 747 797 996 1332 1494 1594 2391 2988 3071 3188 4782 6142 7173 9213 9564 12284 14346 18426 27639 28692 29489 36852 55278 58978 66151 88467 110556 117956 132302 176934 198453 264604 265401 353868 396906 530802 595359 793812 1061604 1190718 2381436 2447587 4895174 7342761 9790348 14685522 22028283 29371044 44056566 88113132