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468284412 = 2231919910321
BaseRepresentation
bin11011111010010…
…111001111111100
31012122011022110010
4123322113033330
51424340100122
6114244543220
714414231451
oct3372271774
91178138403
10468284412
11220375012
121109b1b10
137602c28b
144629b828
152b1a0e0c
hex1be973fc

468284412 has 48 divisors (see below), whose sum is σ = 1156064000. Its totient is φ = 147121920.

The previous prime is 468284389. The next prime is 468284413. The reversal of 468284412 is 214482864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468284413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40212 + ... + 50532.

Almost surely, 2468284412 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 468284412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578032000).

468284412 is an abundant number, since it is smaller than the sum of its proper divisors (687779588).

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

468284412 is a wasteful number, since it uses less digits than its factorization.

468284412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10546 (or 10544 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 468284412 is about 21639.8801290580. The cubic root of 468284412 is about 776.5508519268.

The spelling of 468284412 in words is "four hundred sixty-eight million, two hundred eighty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 199 228 398 597 796 1194 2388 3781 7562 10321 11343 15124 20642 22686 30963 41284 45372 61926 123852 196099 392198 588297 784396 1176594 2053879 2353188 4107758 6161637 8215516 12323274 24646548 39023701 78047402 117071103 156094804 234142206 468284412