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87875088 = 24372383137
BaseRepresentation
bin1010011110011…
…01111000010000
320010100111221220
411033031320100
5134444000323
612415245040
72114632410
oct517157020
9203314856
1087875088
114566a944
1225519780
13152899c2
14b956640
157aac0e3
hex53cde10

87875088 has 160 divisors (see below), whose sum is σ = 275982336. Its totient is φ = 23553024.

The previous prime is 87875087. The next prime is 87875119. The reversal of 87875088 is 88057878.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 87875088.

It is not an unprimeable number, because it can be changed into a prime (87875083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641356 + ... + 641492.

Almost surely, 287875088 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 87875088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137991168).

87875088 is an abundant number, since it is smaller than the sum of its proper divisors (188107248).

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

87875088 is a wasteful number, since it uses less digits than its factorization.

87875088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 51.

The square root of 87875088 is about 9374.1713233757. The cubic root of 87875088 is about 444.5854625478.

The spelling of 87875088 in words is "eighty-seven million, eight hundred seventy-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 83 84 92 112 137 138 161 166 168 184 249 274 276 322 332 336 368 411 483 498 548 552 581 644 664 822 959 966 996 1096 1104 1162 1288 1328 1644 1743 1909 1918 1932 1992 2192 2324 2576 2877 3151 3288 3486 3818 3836 3864 3984 4648 5727 5754 6302 6576 6972 7636 7672 7728 9296 9453 11371 11454 11508 12604 13363 13944 15272 15344 18906 22057 22742 22908 23016 25208 26726 27888 30544 34113 37812 40089 44114 45484 45816 46032 50416 53452 66171 68226 75624 79597 80178 88228 90968 91632 106904 132342 136452 151248 159194 160356 176456 181936 213808 238791 261533 264684 272904 318388 320712 352912 477582 523066 529368 545808 636776 641424 784599 955164 1046132 1058736 1273552 1569198 1830731 1910328 2092264 3138396 3661462 3820656 4184528 5492193 6276792 7322924 10984386 12553584 14645848 21968772 29291696 43937544 87875088