Search a number
-
+
469435380 = 223579971021
BaseRepresentation
bin11011111110110…
…000001111110100
31012201022210021120
4123332300033310
51430133413010
6114325343540
714430064161
oct3376601764
91181283246
10469435380
11220a90827
12111267bb0
137634311b
14464bb068
152b32be70
hex1bfb03f4

469435380 has 96 divisors (see below), whose sum is σ = 1346096640. Its totient is φ = 122204160.

The previous prime is 469435357. The next prime is 469435381. The reversal of 469435380 is 83534964.

It is a super-5 number, since 5×4694353805 (a number of 45 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469435381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459270 + ... + 460290.

It is an arithmetic number, because the mean of its divisors is an integer number (14021840).

Almost surely, 2469435380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469435380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673048320).

469435380 is an abundant number, since it is smaller than the sum of its proper divisors (876661260).

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

469435380 is a wasteful number, since it uses less digits than its factorization.

469435380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 469435380 is about 21666.4574861697. The cubic root of 469435380 is about 777.1865438952.

The spelling of 469435380 in words is "four hundred sixty-nine million, four hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 97 158 194 237 291 316 388 395 474 485 582 790 948 970 1021 1164 1185 1455 1580 1940 2042 2370 2910 3063 4084 4740 5105 5820 6126 7663 10210 12252 15315 15326 20420 22989 30630 30652 38315 45978 61260 76630 80659 91956 99037 114945 153260 161318 198074 229890 241977 297111 322636 396148 403295 459780 483954 495185 594222 806590 967908 990370 1188444 1209885 1485555 1613180 1980740 2419770 2971110 4839540 5942220 7823923 15647846 23471769 31295692 39119615 46943538 78239230 93887076 117358845 156478460 234717690 469435380