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468486954 = 2321323611427
BaseRepresentation
bin11011111011001…
…000101100101010
31012122112121021200
4123323020230222
51424413040304
6114253145030
714416034115
oct3373105452
91178477250
10468486954
112204a3201
12110a8b176
13760a0520
144631157c
152b1e0e39
hex1bec8b2a

468486954 has 96 divisors (see below), whose sum is σ = 1160175744. Its totient is φ = 135527040.

The previous prime is 468486923. The next prime is 468486959. The reversal of 468486954 is 459684864.

It is a self number, because there is not a number n which added to its sum of digits gives 468486954.

It is not an unprimeable number, because it can be changed into a prime (468486959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327589 + ... + 329015.

It is an arithmetic number, because the mean of its divisors is an integer number (12085164).

Almost surely, 2468486954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468486954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580087872).

468486954 is an abundant number, since it is smaller than the sum of its proper divisors (691688790).

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

468486954 is a wasteful number, since it uses less digits than its factorization.

468486954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1529 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 468486954 is about 21644.5594549762. The cubic root of 468486954 is about 776.6627935075.

The spelling of 468486954 in words is "four hundred sixty-eight million, four hundred eighty-six thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 61 69 78 117 122 138 183 207 234 299 366 414 549 598 793 897 1098 1403 1427 1586 1794 2379 2691 2806 2854 4209 4281 4758 5382 7137 8418 8562 12627 12843 14274 18239 18551 25254 25686 32821 36478 37102 54717 55653 65642 87047 98463 109434 111306 164151 166959 174094 196926 261141 295389 328302 333918 426673 522282 590778 783423 853346 1131611 1280019 1566846 2002081 2263222 2560038 3394833 3840057 4004162 6006243 6789666 7680114 10184499 12012486 18018729 20368998 26027053 36037458 52054106 78081159 156162318 234243477 468486954