[go: up one dir, main page]

Search a number
-
+
468969864 = 23311353277
BaseRepresentation
bin11011111100111…
…110100110001000
31012200110010201020
4123330332212020
51430024013424
6114311352440
714423115036
oct3374764610
91180403636
10468969864
112207a3000
12111082720
137620c27c
14463d9556
152b289079
hex1bf3e988

468969864 has 128 divisors (see below), whose sum is σ = 1318654080. Its totient is φ = 138927360.

The previous prime is 468969859. The next prime is 468969869.

468969864 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (468969859) and next prime (468969869).

It is a junction number, because it is equal to n+sod(n) for n = 468969798 and 468969807.

It is not an unprimeable number, because it can be changed into a prime (468969869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1692894 + ... + 1693170.

It is an arithmetic number, because the mean of its divisors is an integer number (10301985).

Almost surely, 2468969864 is an apocalyptic number.

468969864 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 468969864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659327040).

468969864 is an abundant number, since it is smaller than the sum of its proper divisors (849684216).

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

468969864 is a wasteful number, since it uses less digits than its factorization.

468969864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 346 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 60.

The square root of 468969864 is about 21655.7120409374. The cubic root of 468969864 is about 776.9295596944.

The spelling of 468969864 in words is "four hundred sixty-eight million, nine hundred sixty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 121 132 159 212 242 264 277 318 363 424 484 554 583 636 726 831 968 1108 1166 1272 1331 1452 1662 1749 2216 2332 2662 2904 3047 3324 3498 3993 4664 5324 6094 6413 6648 6996 7986 9141 10648 12188 12826 13992 14681 15972 18282 19239 24376 25652 29362 31944 33517 36564 38478 44043 51304 58724 67034 70543 73128 76956 88086 100551 117448 134068 141086 153912 161491 176172 201102 211629 268136 282172 322982 352344 368687 402204 423258 484473 564344 645964 737374 804408 846516 968946 1106061 1291928 1474748 1693032 1776401 1937892 2212122 2949496 3552802 3875784 4424244 5329203 7105604 8848488 10658406 14211208 19540411 21316812 39080822 42633624 58621233 78161644 117242466 156323288 234484932 468969864