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88125232 = 24134359167
BaseRepresentation
bin1010100000010…
…10111100110000
320010211020002111
411100022330300
5140030001412
612424455104
72120023606
oct520127460
9203736074
1088125232
1145820878
122561a494
1315346810
14b9bd876
157b0b2a7
hex540af30

88125232 has 80 divisors (see below), whose sum is σ = 192487680. Its totient is φ = 38820096.

The previous prime is 88125217. The next prime is 88125239. The reversal of 88125232 is 23252188.

It is a junction number, because it is equal to n+sod(n) for n = 88125194 and 88125203.

It is not an unprimeable number, because it can be changed into a prime (88125239) 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 15 ways as a sum of consecutive naturals, for example, 527613 + ... + 527779.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 288125232 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 88125232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96243840).

88125232 is an abundant number, since it is smaller than the sum of its proper divisors (104362448).

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

88125232 is a wasteful number, since it uses less digits than its factorization.

88125232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 88125232 is about 9387.5040346196. The cubic root of 88125232 is about 445.0069131611.

The spelling of 88125232 in words is "eighty-eight million, one hundred twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 43 52 59 86 104 118 167 172 208 236 334 344 472 559 668 688 767 944 1118 1336 1534 2171 2236 2537 2672 3068 4342 4472 5074 6136 7181 8684 8944 9853 10148 12272 14362 17368 19706 20296 28724 32981 34736 39412 40592 57448 65962 78824 93353 114896 128089 131924 157648 186706 256178 263848 373412 423679 512356 527696 746824 847358 1024712 1493648 1694716 2049424 3389432 5507827 6778864 11015654 22031308 44062616 88125232