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468347841 = 321321759307
BaseRepresentation
bin11011111010100…
…110101111000001
31012122021112110100
4123322212233001
51424344112331
6114250153013
714414614413
oct3372465701
91178245410
10468347841
11220408735
12110a22769
1376052100
14462b69b3
152b1b4ae6
hex1bea6bc1

468347841 has 72 divisors (see below), whose sum is σ = 791350560. Its totient is φ = 265794048.

The previous prime is 468347839. The next prime is 468347843. The reversal of 468347841 is 148743864.

It is an interprime number because it is at equal distance from previous prime (468347839) and next prime (468347843).

It is not a de Polignac number, because 468347841 - 21 = 468347839 is a prime.

It is a super-2 number, since 2×4683478412 = 438699400338722562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468347843) 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 71 ways as a sum of consecutive naturals, for example, 1525410 + ... + 1525716.

It is an arithmetic number, because the mean of its divisors is an integer number (10990980).

Almost surely, 2468347841 is an apocalyptic number.

It is an amenable number.

468347841 is a deficient number, since it is larger than the sum of its proper divisors (323002719).

468347841 is a wasteful number, since it uses less digits than its factorization.

468347841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 399 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 468347841 is about 21641.3456374598. The cubic root of 468347841 is about 776.5859115465.

The spelling of 468347841 in words is "four hundred sixty-eight million, three hundred forty-seven thousand, eight hundred forty-one".

Divisors: 1 3 9 13 17 39 51 59 117 153 169 177 221 307 507 531 663 767 921 1003 1521 1989 2301 2763 2873 3009 3991 5219 6903 8619 9027 9971 11973 13039 15657 18113 25857 29913 35919 39117 46971 51883 54339 67847 89739 117351 155649 163017 169507 203541 235469 307921 466947 508521 610623 706407 882011 923763 1525563 2119221 2646033 2771289 3061097 4002973 7938099 9183291 12008919 27549873 36026757 52038649 156115947 468347841