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469716324 = 2237111721759
BaseRepresentation
bin11011111111110…
…100110101100100
31012201212001122220
4123333310311210
51430221410244
6114335352340
714432344230
oct3377646544
91181761586
10469716324
11221162910
121113826b0
1376410c6c
14465515c0
152b385319
hex1bff4d64

469716324 has 144 divisors (see below), whose sum is σ = 1452380160. Its totient is φ = 114762240.

The previous prime is 469716301. The next prime is 469716337. The reversal of 469716324 is 423617964.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 266157 + ... + 267915.

Almost surely, 2469716324 is an apocalyptic number.

469716324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469716324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726190080).

469716324 is an abundant number, since it is smaller than the sum of its proper divisors (982663836).

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

469716324 is a wasteful number, since it uses less digits than its factorization.

469716324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1799 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 469716324 is about 21672.9399020991. The cubic root of 469716324 is about 777.3415544761.

The spelling of 469716324 in words is "four hundred sixty-nine million, seven hundred sixteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 289 308 357 374 462 476 561 578 714 748 867 924 1122 1156 1309 1428 1734 1759 2023 2244 2618 3179 3468 3518 3927 4046 5236 5277 6069 6358 7036 7854 8092 9537 10554 12138 12313 12716 15708 19074 19349 21108 22253 24276 24626 29903 36939 38148 38698 44506 49252 58047 59806 66759 73878 77396 89012 89709 116094 119612 133518 135443 147756 179418 209321 232188 267036 270886 328933 358836 406329 418642 508351 541772 627963 657866 812658 837284 986799 1016702 1255926 1315732 1525053 1625316 1973598 2033404 2302531 2511852 3050106 3558457 3947196 4605062 5591861 6100212 6907593 7116914 9210124 10675371 11183722 13815186 14233828 16775583 21350742 22367444 27630372 33551166 39143027 42701484 67102332 78286054 117429081 156572108 234858162 469716324