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468681381 = 327174310177
BaseRepresentation
bin11011111011111…
…000001010100101
31012122220110222200
4123323320022211
51424440301011
6114301245113
714420504010
oct3373701245
91178813880
10468681381
11220616293
12110b63799
137613ab7c
1446362377
152b22d856
hex1bef82a5

468681381 has 48 divisors (see below), whose sum is σ = 838341504. Its totient is φ = 246177792.

The previous prime is 468681359. The next prime is 468681401. The reversal of 468681381 is 183186864.

It is a happy number.

It is not a de Polignac number, because 468681381 - 25 = 468681349 is a prime.

It is a super-2 number, since 2×4686813812 = 439324473792134322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468681881) 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, 40965 + ... + 51141.

It is an arithmetic number, because the mean of its divisors is an integer number (17465448).

Almost surely, 2468681381 is an apocalyptic number.

It is an amenable number.

468681381 is a deficient number, since it is larger than the sum of its proper divisors (369660123).

468681381 is a wasteful number, since it uses less digits than its factorization.

468681381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10250 (or 10247 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 468681381 is about 21649.0503486874. The cubic root of 468681381 is about 776.7702197165.

The spelling of 468681381 in words is "four hundred sixty-eight million, six hundred eighty-one thousand, three hundred eighty-one".

Divisors: 1 3 7 9 17 21 43 51 63 119 129 153 301 357 387 731 903 1071 2193 2709 5117 6579 10177 15351 30531 46053 71239 91593 173009 213717 437611 519027 641151 1211063 1312833 1557081 3063277 3633189 3938499 7439387 9189831 10899567 22318161 27569493 52075709 66954483 156227127 468681381