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87278856 = 23371937739
BaseRepresentation
bin1010011001111…
…00010100001000
320002020020002020
411030330110020
5134320410411
612354404440
72106600210
oct514742410
9202206066
1087278856
11452a2995
1225290720
131510b4c2
14b83d240
1579e0606
hex533c508

87278856 has 128 divisors (see below), whose sum is σ = 269952000. Its totient is φ = 22954752.

The previous prime is 87278831. The next prime is 87278869. The reversal of 87278856 is 65887278.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 87278799 and 87278808.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 117735 + ... + 118473.

It is an arithmetic number, because the mean of its divisors is an integer number (2109000).

Almost surely, 287278856 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 87278856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134976000).

87278856 is an abundant number, since it is smaller than the sum of its proper divisors (182673144).

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

87278856 is a wasteful number, since it uses less digits than its factorization.

87278856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 807 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 51.

The square root of 87278856 is about 9342.3153447098. The cubic root of 87278856 is about 443.5776765002.

The spelling of 87278856 in words is "eighty-seven million, two hundred seventy-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 37 38 42 56 57 74 76 84 111 114 133 148 152 168 222 228 259 266 296 399 444 456 518 532 703 739 777 798 888 1036 1064 1406 1478 1554 1596 2072 2109 2217 2812 2956 3108 3192 4218 4434 4921 5173 5624 5912 6216 8436 8868 9842 10346 14041 14763 15519 16872 17736 19684 20692 27343 28082 29526 31038 39368 41384 42123 54686 56164 59052 62076 82029 84246 98287 109372 112328 118104 124152 164058 168492 191401 196574 218744 294861 328116 336984 382802 393148 519517 574203 589722 656232 765604 786296 1039034 1148406 1179444 1531208 1558551 2078068 2296812 2358888 3117102 3636619 4156136 4593624 6234204 7273238 10909857 12468408 14546476 21819714 29092952 43639428 87278856