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426460104 = 233272413511
BaseRepresentation
bin11001011010110…
…100001111001000
31002201110102021200
4121122310033020
51333133210404
6110152304200
713365564630
oct3132641710
91081412250
10426460104
111a97a8874
12ba9a2060
136a477275
14408d16c0
152768d839
hex196b43c8

426460104 has 96 divisors (see below), whose sum is σ = 1325850240. Its totient is φ = 121305600.

The previous prime is 426460081. The next prime is 426460121. The reversal of 426460104 is 401064624.

426460104 is a `hidden beast` number, since 4 + 2 + 646 + 0 + 10 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119709 + ... + 123219.

It is an arithmetic number, because the mean of its divisors is an integer number (13810940).

Almost surely, 2426460104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426460104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662925120).

426460104 is an abundant number, since it is smaller than the sum of its proper divisors (899390136).

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

426460104 is a wasteful number, since it uses less digits than its factorization.

426460104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 426460104 is about 20650.9104884022. The cubic root of 426460104 is about 752.7073141742.

The spelling of 426460104 in words is "four hundred twenty-six million, four hundred sixty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 241 252 482 504 723 964 1446 1687 1928 2169 2892 3374 3511 4338 5061 5784 6748 7022 8676 10122 10533 13496 14044 15183 17352 20244 21066 24577 28088 30366 31599 40488 42132 49154 60732 63198 73731 84264 98308 121464 126396 147462 196616 221193 252792 294924 442386 589848 846151 884772 1692302 1769544 2538453 3384604 5076906 5923057 6769208 7615359 10153812 11846114 15230718 17769171 20307624 23692228 30461436 35538342 47384456 53307513 60922872 71076684 106615026 142153368 213230052 426460104