Search a number
-
+
466242378 = 23743534871
BaseRepresentation
bin11011110010100…
…100101101001010
31012111022120022020
4123302210231022
51423324224003
6114133105310
714360665140
oct3362445512
91174276266
10466242378
1121a1aa888
12110188236
1375795984
1445cc9590
152adead53
hex1bca4b4a

466242378 has 64 divisors (see below), whose sum is σ = 1111283712. Its totient is φ = 127632960.

The previous prime is 466242353. The next prime is 466242409. The reversal of 466242378 is 873242664.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93283 + ... + 98153.

It is an arithmetic number, because the mean of its divisors is an integer number (17363808).

Almost surely, 2466242378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466242378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555641856).

466242378 is an abundant number, since it is smaller than the sum of its proper divisors (645041334).

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

466242378 is a wasteful number, since it uses less digits than its factorization.

466242378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979.

The product of its digits is 387072, while the sum is 42.

The square root of 466242378 is about 21592.6463871384. The cubic root of 466242378 is about 775.4204464368.

The spelling of 466242378 in words is "four hundred sixty-six million, two hundred forty-two thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 43 53 86 106 129 159 258 301 318 371 602 742 903 1113 1806 2226 2279 4558 4871 6837 9742 13674 14613 15953 29226 31906 34097 47859 68194 95718 102291 204582 209453 258163 418906 516326 628359 774489 1256718 1466171 1548978 1807141 2932342 3614282 4398513 5421423 8797026 10842846 11101009 22202018 33303027 66606054 77707063 155414126 233121189 466242378