Search a number
-
+
464486430 = 23543472163
BaseRepresentation
bin11011101011111…
…000000000011110
31012101000100121010
4123223320000132
51422402031210
6114031320050
714340032562
oct3353700036
91171010533
10464486430
11219210591
1210b680026
13752cc655
144598d6a2
152aba0920
hex1baf801e

464486430 has 96 divisors (see below), whose sum is σ = 1172628864. Its totient is φ = 117681984.

The previous prime is 464486389. The next prime is 464486437. The reversal of 464486430 is 34684464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464486437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2849529 + ... + 2849691.

It is an arithmetic number, because the mean of its divisors is an integer number (12214884).

Almost surely, 2464486430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464486430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586314432).

464486430 is an abundant number, since it is smaller than the sum of its proper divisors (708142434).

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

464486430 is a wasteful number, since it uses less digits than its factorization.

464486430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The square root of 464486430 is about 21551.9472438107. The cubic root of 464486430 is about 774.4457667649.

The spelling of 464486430 in words is "four hundred sixty-four million, four hundred eighty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 47 86 94 129 141 163 215 235 258 282 326 430 470 489 645 705 815 978 1290 1410 1630 2021 2209 2445 4042 4418 4890 6063 6627 7009 7661 10105 11045 12126 13254 14018 15322 20210 21027 22090 22983 30315 33135 35045 38305 42054 45966 60630 66270 70090 76610 94987 105135 114915 189974 210270 229830 284961 329423 360067 474935 569922 658846 720134 949870 988269 1080201 1424805 1647115 1800335 1976538 2160402 2849610 3294230 3600670 4941345 5401005 9882690 10802010 15482881 30965762 46448643 77414405 92897286 154828810 232243215 464486430