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469468384 = 25711217321
BaseRepresentation
bin11011111110111…
…000010011100000
31012201101110112221
4123332320103200
51430140442014
6114330200424
714430262330
oct3376702340
91181343487
10469468384
11221003600
12111283114
1376355158
14464c90c0
152b336b24
hex1bfb84e0

469468384 has 72 divisors (see below), whose sum is σ = 1161128304. Its totient is φ = 182899200.

The previous prime is 469468381. The next prime is 469468399. The reversal of 469468384 is 483864964.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469468381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18444 + ... + 35764.

It is an arithmetic number, because the mean of its divisors is an integer number (16126782).

Almost surely, 2469468384 is an apocalyptic number.

469468384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469468384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580564152).

469468384 is an abundant number, since it is smaller than the sum of its proper divisors (691659920).

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

469468384 is a wasteful number, since it uses less digits than its factorization.

469468384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17360 (or 17341 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 52.

The square root of 469468384 is about 21667.2191109058. The cubic root of 469468384 is about 777.2047570258.

The spelling of 469468384 in words is "four hundred sixty-nine million, four hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 6776 13552 17321 27104 34642 69284 121247 138568 190531 242494 277136 381062 484988 554272 762124 969976 1333717 1524248 1939952 2095841 2667434 3048496 3879904 4191682 5334868 6096992 8383364 10669736 14670887 16766728 21339472 29341774 33533456 42678944 58683548 67066912 117367096 234734192 469468384