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468140761 = 11376771699
BaseRepresentation
bin11011111001110…
…100001011011001
31012121220000101201
4123321310023121
51424321001021
6114241514201
714413062604
oct3371641331
91177800351
10468140761
112202870a0
12110942961
1375caba8a
144626133b
152b173591
hex1be742d9

468140761 has 16 divisors (see below), whose sum is σ = 525585600. Its totient is φ = 413225280.

The previous prime is 468140759. The next prime is 468140773. The reversal of 468140761 is 167041864.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 468140761 - 21 = 468140759 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 468140761.

It is not an unprimeable number, because it can be changed into a prime (468140711) 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 15 ways as a sum of consecutive naturals, for example, 274690 + ... + 276388.

It is an arithmetic number, because the mean of its divisors is an integer number (32849100).

Almost surely, 2468140761 is an apocalyptic number.

It is an amenable number.

468140761 is a deficient number, since it is larger than the sum of its proper divisors (57444839).

468140761 is a wasteful number, since it uses less digits than its factorization.

468140761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 468140761 is about 21636.5607479562. The cubic root of 468140761 is about 776.4714388521.

The spelling of 468140761 in words is "four hundred sixty-eight million, one hundred forty thousand, seven hundred sixty-one".

Divisors: 1 11 37 407 677 1699 7447 18689 25049 62863 275539 691493 1150223 12652453 42558251 468140761