Search a number
-
+
469542690 = 233547163227
BaseRepresentation
bin11011111111001…
…010011100100010
31012201112020111000
4123333022130202
51430200331230
6114331532430
714431022061
oct3377123442
91181466430
10469542690
11221054411
121112ba116
137637cc16
14465081d8
152b34db60
hex1bfca722

469542690 has 128 divisors (see below), whose sum is σ = 1292267520. Its totient is φ = 121258944.

The previous prime is 469542673. The next prime is 469542719. The reversal of 469542690 is 96245964.

469542690 is a `hidden beast` number, since 46 + 9 + 542 + 69 + 0 = 666.

469542690 is a nontrivial binomial coefficient, being equal to C(30645, 2).

It is a super-2 number, since 2×4695426902 = 440940675464872200, which contains 22 as substring.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2068357 + ... + 2068583.

It is an arithmetic number, because the mean of its divisors is an integer number (10095840).

Almost surely, 2469542690 is an apocalyptic number.

469542690 is the 30644-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469542690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646133760).

469542690 is an abundant number, since it is smaller than the sum of its proper divisors (822724830).

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

469542690 is a wasteful number, since it uses less digits than its factorization.

469542690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 469542690 is about 21668.9337531868. The cubic root of 469542690 is about 777.2457593822.

The spelling of 469542690 in words is "four hundred sixty-nine million, five hundred forty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 163 227 235 270 282 326 423 454 470 489 681 705 815 846 978 1135 1269 1362 1410 1467 1630 2043 2115 2270 2445 2538 2934 3405 4086 4230 4401 4890 6129 6345 6810 7335 7661 8802 10215 10669 12258 12690 14670 15322 20430 21338 22005 22983 30645 32007 37001 38305 44010 45966 53345 61290 64014 68949 74002 76610 96021 106690 111003 114915 137898 160035 185005 192042 206847 222006 229830 288063 320070 333009 344745 370010 413694 480105 555015 576126 666018 689490 960210 999027 1034235 1110030 1440315 1665045 1739047 1998054 2068470 2880630 3330090 3478094 4995135 5217141 8695235 9990270 10434282 15651423 17390470 26085705 31302846 46954269 52171410 78257115 93908538 156514230 234771345 469542690