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88066040 = 2352931279
BaseRepresentation
bin1010011111111…
…00011111111000
320010201012220012
411033330133320
5140021103130
612423321052
72116356206
oct517743770
9203635805
1088066040
1145790357
12255b0188
13153258aa
14b9a6076
157ae8995
hex53fc7f8

88066040 has 96 divisors (see below), whose sum is σ = 214488000. Its totient is φ = 32497920.

The previous prime is 88066039. The next prime is 88066049. The reversal of 88066040 is 4066088.

It is a junction number, because it is equal to n+sod(n) for n = 88065988 and 88066006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88066049) 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, 1114721 + ... + 1114799.

It is an arithmetic number, because the mean of its divisors is an integer number (2234250).

Almost surely, 288066040 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 88066040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107244000).

88066040 is an abundant number, since it is smaller than the sum of its proper divisors (126421960).

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

88066040 is a wasteful number, since it uses less digits than its factorization.

88066040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 88066040 is about 9384.3508033321. The cubic root of 88066040 is about 444.9072566899.

The spelling of 88066040 in words is "eighty-eight million, sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 79 116 124 145 155 158 232 248 290 310 316 395 580 620 632 790 899 961 1160 1240 1580 1798 1922 2291 2449 3160 3596 3844 4495 4582 4805 4898 7192 7688 8990 9164 9610 9796 11455 12245 17980 18328 19220 19592 22910 24490 27869 35960 38440 45820 48980 55738 71021 75919 91640 97960 111476 139345 142042 151838 222952 278690 284084 303676 355105 379595 557380 568168 607352 710210 759190 1114760 1420420 1518380 2201651 2840840 3036760 4403302 8806604 11008255 17613208 22016510 44033020 88066040