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454064468 = 2211132227269
BaseRepresentation
bin11011000100000…
…111100101010100
31011122101212100112
4123010013211110
51412220030333
6113020102152
714152325054
oct3304074524
91148355315
10454064468
112133423a0
12108094958
13730c0a00
1444439564
1529ce2948
hex1b107954

454064468 has 72 divisors (see below), whose sum is σ = 946300320. Its totient is φ = 188972160.

The previous prime is 454064423. The next prime is 454064519. The reversal of 454064468 is 864460454.

It is a super-3 number, since 3×4540644683 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1687838 + ... + 1688106.

It is an arithmetic number, because the mean of its divisors is an integer number (13143060).

Almost surely, 2454064468 is an apocalyptic number.

It is an amenable number.

454064468 is an abundant number, since it is smaller than the sum of its proper divisors (492235852).

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

454064468 is a wasteful number, since it uses less digits than its factorization.

454064468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 41.

The square root of 454064468 is about 21308.7885155398. The cubic root of 454064468 is about 768.6096617553.

The spelling of 454064468 in words is "four hundred fifty-four million, sixty-four thousand, four hundred sixty-eight".

Divisors: 1 2 4 11 13 22 26 44 52 143 169 227 269 286 338 454 538 572 676 908 1076 1859 2497 2951 2959 3497 3718 4994 5902 5918 6994 7436 9988 11804 11836 13988 32461 38363 38467 45461 61063 64922 76726 76934 90922 122126 129844 153452 153868 181844 244252 421993 500071 671693 793819 843986 1000142 1343386 1587638 1687972 2000284 2686772 3175276 8732009 10319647 17464018 20639294 34928036 41278588 113516117 227032234 454064468