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67894743 = 3723147317
BaseRepresentation
bin1000000101111…
…11110111010111
311201202102002010
410002333313113
5114340112433
610423115303
71453044600
oct402776727
9151672063
1067894743
1135363364
121a8a2b33
13110b2507
149034da7
155e61e63
hex40bfdd7

67894743 has 48 divisors (see below), whose sum is σ = 111366144. Its totient is φ = 36630720.

The previous prime is 67894711. The next prime is 67894751. The reversal of 67894743 is 34749876.

It is a happy number.

It is not a de Polignac number, because 67894743 - 25 = 67894711 is a prime.

It is a super-4 number, since 4×678947434 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 67894692 and 67894701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67894943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214021 + ... + 214337.

It is an arithmetic number, because the mean of its divisors is an integer number (2320128).

Almost surely, 267894743 is an apocalyptic number.

67894743 is a deficient number, since it is larger than the sum of its proper divisors (43471401).

67894743 is a wasteful number, since it uses less digits than its factorization.

67894743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 405 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 67894743 is about 8239.8266365258. The cubic root of 67894743 is about 407.9548020386.

The spelling of 67894743 in words is "sixty-seven million, eight hundred ninety-four thousand, seven hundred forty-three".

Divisors: 1 3 7 21 31 47 49 93 141 147 217 317 329 651 951 987 1457 1519 2219 2303 4371 4557 6657 6909 9827 10199 14899 15533 29481 30597 44697 46599 68789 71393 104293 206367 214179 312879 461869 481523 730051 1385607 1444569 2190153 3233083 9699249 22631581 67894743