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67495968 = 2532234361
BaseRepresentation
bin1000000010111…
…10100000100000
311201000011001200
410001132200200
5114234332333
610410401200
71446464151
oct401364040
9151004050
1067495968
11351107a1
121a730200
1310ca2b57
148d6d928
155dd3c13
hex405e820

67495968 has 36 divisors (see below), whose sum is σ = 191942478. Its totient is φ = 22498560.

The previous prime is 67495931. The next prime is 67495969. The reversal of 67495968 is 86959476.

67495968 is a `hidden beast` number, since 6 + 7 + 49 + 596 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49956624 + 17539344 = 7068^2 + 4188^2 .

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

It is not an unprimeable number, because it can be changed into a prime (67495969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116893 + ... + 117468.

Almost surely, 267495968 is an apocalyptic number.

It is an amenable number.

67495968 is an abundant number, since it is smaller than the sum of its proper divisors (124446510).

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

67495968 is a wasteful number, since it uses less digits than its factorization.

67495968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234377 (or 234366 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 67495968 is about 8215.5929792073. The cubic root of 67495968 is about 407.1545352672.

It can be divided in two parts, 6749596 and 8, that added together give a square (6749604 = 25982).

The spelling of 67495968 in words is "sixty-seven million, four hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 234361 468722 703083 937444 1406166 1874888 2109249 2812332 3749776 4218498 5624664 7499552 8436996 11249328 16873992 22498656 33747984 67495968