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86726976 = 2637173373
BaseRepresentation
bin1010010101101…
…01100101000000
320001012012001020
411022311211000
5134200230401
612334505440
72102111220
oct512654500
9201165036
1086726976
1144a56296
1225065280
1314c7724b
14b738080
157931d36
hex52b5940

86726976 has 112 divisors (see below), whose sum is σ = 264468864. Its totient is φ = 24569856.

The previous prime is 86726971. The next prime is 86726987. The reversal of 86726976 is 67962768.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×867269762 = 15043136732209152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86726971) 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, 232326 + ... + 232698.

Almost surely, 286726976 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 86726976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132234432).

86726976 is an abundant number, since it is smaller than the sum of its proper divisors (177741888).

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

86726976 is a wasteful number, since it uses less digits than its factorization.

86726976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 558 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The square root of 86726976 is about 9312.7319299978. The cubic root of 86726976 is about 442.6407583101.

The spelling of 86726976 in words is "eighty-six million, seven hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 173 192 224 336 346 373 448 519 672 692 746 1038 1119 1211 1344 1384 1492 2076 2238 2422 2611 2768 2984 3633 4152 4476 4844 5222 5536 5968 7266 7833 8304 8952 9688 10444 11072 11936 14532 15666 16608 17904 19376 20888 23872 29064 31332 33216 35808 38752 41776 58128 62664 64529 71616 77504 83552 116256 125328 129058 167104 193587 232512 250656 258116 387174 451703 501312 516232 774348 903406 1032464 1355109 1548696 1806812 2064928 2710218 3097392 3613624 4129856 5420436 6194784 7227248 10840872 12389568 14454496 21681744 28908992 43363488 86726976