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86644668 = 223116797101
BaseRepresentation
bin1010010101000…
…01011110111100
320001001000010210
411022201132330
5134140112133
612333032420
72101316235
oct512413674
9201030123
1086644668
11449aa470
1225025710
1314c48946
14b71608c
157917763
hex52a17bc

86644668 has 96 divisors (see below), whose sum is σ = 228388608. Its totient is φ = 25344000.

The previous prime is 86644651. The next prime is 86644673.

86644668 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857818 + ... + 857918.

It is an arithmetic number, because the mean of its divisors is an integer number (2379048).

Almost surely, 286644668 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 86644668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114194304).

86644668 is an abundant number, since it is smaller than the sum of its proper divisors (141743940).

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

86644668 is a wasteful number, since it uses less digits than its factorization.

86644668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 86644668 is about 9308.3117695960. The cubic root of 86644668 is about 442.5006849873.

The spelling of 86644668 in words is "eighty-six million, six hundred forty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 97 101 132 134 194 201 202 268 291 303 388 402 404 582 606 737 804 1067 1111 1164 1212 1474 2134 2211 2222 2948 3201 3333 4268 4422 4444 6402 6499 6666 6767 8844 9797 12804 12998 13332 13534 19497 19594 20301 25996 27068 29391 38994 39188 40602 58782 71489 74437 77988 81204 107767 117564 142978 148874 214467 215534 223311 285956 297748 323301 428934 431068 446622 646602 656399 857868 893244 1293204 1312798 1969197 2625596 3938394 7220389 7876788 14440778 21661167 28881556 43322334 86644668