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67418144 = 253756941
BaseRepresentation
bin1000000010010…
…11100000100000
311200212012022022
410001023200200
5114224340034
610405001012
71446021233
oct401134040
9150765268
1067418144
1135068282
121a6b3168
1310c765c1
148d4d41a
155dbab2e
hex404b820

67418144 has 24 divisors (see below), whose sum is σ = 136319148. Its totient is φ = 32797440.

The previous prime is 67418119. The next prime is 67418159. The reversal of 67418144 is 44181476.

It can be written as a sum of positive squares in 2 ways, for example, as 63808144 + 3610000 = 7988^2 + 1900^2 .

It is a super-2 number, since 2×674181442 = 9090412280809472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27287 + ... + 29654.

Almost surely, 267418144 is an apocalyptic number.

It is an amenable number.

67418144 is an abundant number, since it is smaller than the sum of its proper divisors (68901004).

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

67418144 is a wasteful number, since it uses less digits than its factorization.

67418144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56988 (or 56980 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 67418144 is about 8210.8552538697. The cubic root of 67418144 is about 406.9979897153.

The spelling of 67418144 in words is "sixty-seven million, four hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 56941 113882 227764 455528 911056 1822112 2106817 4213634 8427268 16854536 33709072 67418144