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86869552 = 2473111439
BaseRepresentation
bin1010010110110…
…00011000110000
320001110102121211
411023120120300
5134214311202
612341525504
72103244000
oct513303060
9201412554
1086869552
1145043420
1225113894
1314cc7103
14b774000
15795e1d7
hex52d8630

86869552 has 80 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 33821760.

The previous prime is 86869537. The next prime is 86869553. The reversal of 86869552 is 25596868.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 86869496 and 86869505.

It is not an unprimeable number, because it can be changed into a prime (86869553) 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, 59649 + ... + 61087.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 286869552 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 86869552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

86869552 is an abundant number, since it is smaller than the sum of its proper divisors (127402448).

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

86869552 is a wasteful number, since it uses less digits than its factorization.

86869552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1459 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 49.

The square root of 86869552 is about 9320.3836830894. The cubic root of 86869552 is about 442.8831872895.

The spelling of 86869552 in words is "eighty-six million, eight hundred sixty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 343 392 539 616 686 784 1078 1232 1372 1439 2156 2744 2878 3773 4312 5488 5756 7546 8624 10073 11512 15092 15829 20146 23024 30184 31658 40292 60368 63316 70511 80584 110803 126632 141022 161168 221606 253264 282044 443212 493577 564088 775621 886424 987154 1128176 1551242 1772848 1974308 3102484 3948616 5429347 6204968 7897232 10858694 12409936 21717388 43434776 86869552