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468838260 = 223351178929
BaseRepresentation
bin11011111100011…
…110011101110100
31012200012110012000
4123330132131310
51430010311020
6114304455300
714422026252
oct3374363564
91180173160
10468838260
11220713140
1211101a530
13761943b7
14463a35d2
152b260090
hex1bf1e774

468838260 has 96 divisors (see below), whose sum is σ = 1591228800. Its totient is φ = 113656320.

The previous prime is 468838241. The next prime is 468838261. The reversal of 468838260 is 62838864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468838261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33525 + ... + 45404.

It is an arithmetic number, because the mean of its divisors is an integer number (16575300).

Almost surely, 2468838260 is an apocalyptic number.

It is an amenable number.

468838260 is an abundant number, since it is smaller than the sum of its proper divisors (1122390540).

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

468838260 is a wasteful number, since it uses less digits than its factorization.

468838260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78958 (or 78950 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 468838260 is about 21652.6732760646. The cubic root of 468838260 is about 776.8568779783.

The spelling of 468838260 in words is "four hundred sixty-eight million, eight hundred thirty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 78929 157858 236787 315716 394645 473574 710361 789290 868219 947148 1183935 1420722 1578580 1736438 2131083 2367870 2604657 2841444 3472876 3551805 4262166 4341095 4735740 5209314 7103610 7813971 8524332 8682190 10418628 10655415 13023285 14207220 15627942 17364380 21310830 23441913 26046570 31255884 39069855 42621660 46883826 52093140 78139710 93767652 117209565 156279420 234419130 468838260