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468012840 = 23354782981
BaseRepresentation
bin11011111001010…
…100111100101000
31012121122111220220
4123321110330220
51424302402330
6114235050040
714412020631
oct3371247450
91177574826
10468012840
112201a9a79
121108a0920
1375c65799
144622a888
152b14a710
hex1be54f28

468012840 has 64 divisors (see below), whose sum is σ = 1433928960. Its totient is φ = 122146560.

The previous prime is 468012821. The next prime is 468012869. The reversal of 468012840 is 48210864.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35851 + ... + 47130.

It is an arithmetic number, because the mean of its divisors is an integer number (22405140).

Almost surely, 2468012840 is an apocalyptic number.

468012840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468012840 is an abundant number, since it is smaller than the sum of its proper divisors (965916120).

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

468012840 is a wasteful number, since it uses less digits than its factorization.

468012840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83042 (or 83038 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 468012840 is about 21633.6044153534. The cubic root of 468012840 is about 776.4007079525.

The spelling of 468012840 in words is "four hundred sixty-eight million, twelve thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 82981 165962 248943 331924 414905 497886 663848 829810 995772 1244715 1659620 1991544 2489430 3319240 3900107 4978860 7800214 9957720 11700321 15600428 19500535 23400642 31200856 39001070 46801284 58501605 78002140 93602568 117003210 156004280 234006420 468012840