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86698752 = 283716127
BaseRepresentation
bin1010010101011…
…10101100000000
320001010202022220
411022232230000
5134143330002
612334131040
72101633020
oct512565400
9201122286
1086698752
1144a37068
1225050a80
1314c6744a
14b72ba80
1579287bc
hex52aeb00

86698752 has 72 divisors (see below), whose sum is σ = 263725056. Its totient is φ = 24769536.

The previous prime is 86698687. The next prime is 86698811. The reversal of 86698752 is 25789668.

It is a junction number, because it is equal to n+sod(n) for n = 86698695 and 86698704.

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 7 ways as a sum of consecutive naturals, for example, 2688 + ... + 13439.

It is an arithmetic number, because the mean of its divisors is an integer number (3662848).

Almost surely, 286698752 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 86698752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131862528).

86698752 is an abundant number, since it is smaller than the sum of its proper divisors (177026304).

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

86698752 is a wasteful number, since it uses less digits than its factorization.

86698752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16153 (or 16139 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 86698752 is about 9311.2164618808. The cubic root of 86698752 is about 442.5927361575.

The spelling of 86698752 in words is "eighty-six million, six hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 16127 32254 48381 64508 96762 112889 129016 193524 225778 258032 338667 387048 451556 516064 677334 774096 903112 1032128 1354668 1548192 1806224 2064256 2709336 3096384 3612448 4128512 5418672 6192768 7224896 10837344 12385536 14449792 21674688 28899584 43349376 86698752