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86411916 = 223210722433
BaseRepresentation
bin1010010011010…
…00101010001100
320000121011212100
411021220222030
5134110140131
612324035100
72066326533
oct511505214
9200534770
1086411916
1144860608
1224b32a90
1314b96a16
14b69531a
1578bd7e6
hex5268a8c

86411916 has 36 divisors (see below), whose sum is σ = 220481352. Its totient is φ = 28533504.

The previous prime is 86411903. The next prime is 86411917. The reversal of 86411916 is 61911468.

It is a happy number.

86411916 is a `hidden beast` number, since 8 + 641 + 1 + 9 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86411917) 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 11 ways as a sum of consecutive naturals, for example, 7365 + ... + 15068.

It is an arithmetic number, because the mean of its divisors is an integer number (6124482).

Almost surely, 286411916 is an apocalyptic number.

It is an amenable number.

86411916 is an abundant number, since it is smaller than the sum of its proper divisors (134069436).

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

86411916 is a wasteful number, since it uses less digits than its factorization.

86411916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22550 (or 22545 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 86411916 is about 9295.8009875427. The cubic root of 86411916 is about 442.1041024764.

The spelling of 86411916 in words is "eighty-six million, four hundred eleven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 22433 44866 67299 89732 134598 201897 269196 403794 807588 2400331 4800662 7200993 9601324 14401986 21602979 28803972 43205958 86411916