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86121441 = 3373114699
BaseRepresentation
bin1010010001000…
…01101111100001
320000001102102000
411020201233201
5134021341231
612313514213
72064006630
oct510415741
9200042360
1086121441
114468234a
1224a12969
1314ac4743
14b61b517
1578626e6
hex5221be1

86121441 has 32 divisors (see below), whose sum is σ = 150528000. Its totient is φ = 47621520.

The previous prime is 86121397. The next prime is 86121457. The reversal of 86121441 is 14412168.

It is a happy number.

86121441 is a `hidden beast` number, since 8 + 612 + 1 + 4 + 41 = 666.

It is not a de Polignac number, because 86121441 - 210 = 86120417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (86121461) 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, 1491 + ... + 13208.

It is an arithmetic number, because the mean of its divisors is an integer number (4704000).

Almost surely, 286121441 is an apocalyptic number.

It is an amenable number.

86121441 is a deficient number, since it is larger than the sum of its proper divisors (64406559).

86121441 is a wasteful number, since it uses less digits than its factorization.

86121441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14746 (or 14740 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 86121441 is about 9280.1638455363. The cubic root of 86121441 is about 441.6081664221.

The spelling of 86121441 in words is "eighty-six million, one hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 1953 5859 14699 44097 102893 132291 308679 396873 455669 926037 1367007 2778111 3189683 4101021 9569049 12303063 28707147 86121441