Search a number
-
+
468413208 = 233259910861
BaseRepresentation
bin11011111010110…
…110101100011000
31012122101212010100
4123322312230120
51424403210313
6114251415400
714415306114
oct3372665430
91178355110
10468413208
1122045285a
12110a54560
1376075aa3
14462d2744
152b1c9173
hex1beb6b18

468413208 has 48 divisors (see below), whose sum is σ = 1270854000. Its totient is φ = 155862720.

The previous prime is 468413201. The next prime is 468413219. The reversal of 468413208 is 802314864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468413201) 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 11 ways as a sum of consecutive naturals, for example, 37698 + ... + 48558.

It is an arithmetic number, because the mean of its divisors is an integer number (26476125).

Almost surely, 2468413208 is an apocalyptic number.

It is an amenable number.

468413208 is an abundant number, since it is smaller than the sum of its proper divisors (802440792).

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

468413208 is a wasteful number, since it uses less digits than its factorization.

468413208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11472 (or 11465 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 468413208 is about 21642.8558189533. The cubic root of 468413208 is about 776.6220390607.

The spelling of 468413208 in words is "four hundred sixty-eight million, four hundred thirteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 599 1198 1797 2396 3594 4792 5391 7188 10782 10861 14376 21564 21722 32583 43128 43444 65166 86888 97749 130332 195498 260664 390996 781992 6505739 13011478 19517217 26022956 39034434 52045912 58551651 78068868 117103302 156137736 234206604 468413208