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86006648 = 237133137103
BaseRepresentation
bin1010010000001…
…01101101111000
312222211120221102
411020011231320
5134004203043
612311230532
72063021150
oct510055570
9188746842
1086006648
1144604082
1224978448
1314a84410
14b5cb760
15783d6b8
hex5205b78

86006648 has 128 divisors (see below), whose sum is σ = 212459520. Its totient is φ = 31726080.

The previous prime is 86006647. The next prime is 86006671. The reversal of 86006648 is 84660068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86006647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834965 + ... + 835067.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 286006648 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 86006648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106229760).

86006648 is an abundant number, since it is smaller than the sum of its proper divisors (126452872).

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

86006648 is a wasteful number, since it uses less digits than its factorization.

86006648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 86006648 is about 9273.9769247071. The cubic root of 86006648 is about 441.4118697128.

The spelling of 86006648 in words is "eighty-six million, six thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 37 52 56 62 74 91 103 104 124 148 182 206 217 248 259 296 364 403 412 434 481 518 721 728 806 824 868 962 1036 1147 1339 1442 1612 1736 1924 2072 2294 2678 2821 2884 3193 3224 3367 3811 3848 4588 5356 5642 5768 6386 6734 7622 8029 9176 9373 10712 11284 12772 13468 14911 15244 16058 18746 22351 22568 25544 26677 26936 29822 30488 32116 37492 41509 44702 49543 53354 59644 64232 74984 83018 89404 99086 104377 106708 118141 119288 166036 178808 198172 208754 213416 236282 290563 332072 346801 396344 417508 472564 581126 693602 826987 835016 945128 1162252 1387204 1535833 1653974 2324504 2774408 3071666 3307948 6143332 6615896 10750831 12286664 21501662 43003324 86006648