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86649030 = 232513312389
BaseRepresentation
bin1010010101000…
…10100011000110
320001001020010100
411022202203012
5134140232110
612333104530
72101335036
oct512424306
9201036110
1086649030
1144a02776
1225028146
1314c4a920
14b7178c6
157918bc0
hex52a28c6

86649030 has 96 divisors (see below), whose sum is σ = 250548480. Its totient is φ = 20632320.

The previous prime is 86649001. The next prime is 86649047. The reversal of 86649030 is 3094668.

86649030 is a `hidden beast` number, since 8 + 6 + 649 + 0 + 3 + 0 = 666.

It is a super-3 number, since 3×866490303 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 35076 + ... + 37464.

It is an arithmetic number, because the mean of its divisors is an integer number (2609880).

Almost surely, 286649030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86649030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125274240).

86649030 is an abundant number, since it is smaller than the sum of its proper divisors (163899450).

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

86649030 is a wasteful number, since it uses less digits than its factorization.

86649030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 86649030 is about 9308.5460733672. The cubic root of 86649030 is about 442.5081105475.

The spelling of 86649030 in words is "eighty-six million, six hundred forty-nine thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2389 2418 2790 3627 4030 4778 6045 7167 7254 11945 12090 14334 18135 21501 23890 31057 35835 36270 43002 62114 71670 74059 93171 107505 148118 155285 186342 215010 222177 279513 310570 370295 444354 465855 559026 666531 740590 931710 962767 1110885 1333062 1397565 1925534 2221770 2795130 2888301 3332655 4813835 5776602 6665310 8664903 9627670 14441505 17329806 28883010 43324515 86649030