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67414148 = 22372811621
BaseRepresentation
bin1000000010010…
…10100010000100
311200211222211022
410001022202010
5114224223043
610404530312
71446003464
oct401124204
9150758738
1067414148
113506527a
121a6b0998
1310c74839
148d4bba4
155db9868
hex404a884

67414148 has 24 divisors (see below), whose sum is σ = 121669464. Its totient is φ = 32659200.

The previous prime is 67414141. The next prime is 67414187. The reversal of 67414148 is 84141476.

It can be written as a sum of positive squares in 4 ways, for example, as 38167684 + 29246464 = 6178^2 + 5408^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (67414141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40778 + ... + 42398.

It is an arithmetic number, because the mean of its divisors is an integer number (5069561).

Almost surely, 267414148 is an apocalyptic number.

It is an amenable number.

67414148 is a deficient number, since it is larger than the sum of its proper divisors (54255316).

67414148 is a wasteful number, since it uses less digits than its factorization.

67414148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1941 counting only the distinct ones).

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

The square root of 67414148 is about 8210.6119138588. The cubic root of 67414148 is about 406.9899483781.

The spelling of 67414148 in words is "sixty-seven million, four hundred fourteen thousand, one hundred forty-eight".

Divisors: 1 2 4 37 74 148 281 562 1124 1621 3242 6484 10397 20794 41588 59977 119954 239908 455501 911002 1822004 16853537 33707074 67414148