Search a number
-
+
468349080 = 23355983797
BaseRepresentation
bin11011111010100…
…111000010011000
31012122021121011020
4123322213002120
51424344132310
6114250202440
714414621133
oct3372470230
91178247136
10468349080
11220409661
12110a23420
1376052844
14462b721a
152b1b5170
hex1bea7098

468349080 has 128 divisors (see below), whose sum is σ = 1447891200. Its totient is φ = 121144832.

The previous prime is 468349009. The next prime is 468349117. The reversal of 468349080 is 80943864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587242 + ... + 588038.

It is an arithmetic number, because the mean of its divisors is an integer number (11311650).

Almost surely, 2468349080 is an apocalyptic number.

468349080 is a gapful number since it is divisible by the number (40) 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 468349080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723945600).

468349080 is an abundant number, since it is smaller than the sum of its proper divisors (979542120).

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

468349080 is a wasteful number, since it uses less digits than its factorization.

468349080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 468349080 is about 21641.3742632024. The cubic root of 468349080 is about 776.5865963574.

The spelling of 468349080 in words is "four hundred sixty-eight million, three hundred forty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 83 118 120 166 177 236 249 295 332 354 415 472 498 590 664 708 797 830 885 996 1180 1245 1416 1594 1660 1770 1992 2360 2391 2490 3188 3320 3540 3985 4782 4897 4980 6376 7080 7970 9564 9794 9960 11955 14691 15940 19128 19588 23910 24485 29382 31880 39176 47023 47820 48970 58764 66151 73455 94046 95640 97940 117528 132302 141069 146910 188092 195880 198453 235115 264604 282138 293820 330755 376184 396906 470230 529208 564276 587640 661510 705345 793812 940460 992265 1128552 1323020 1410690 1587624 1880920 1984530 2646040 2821380 3902909 3969060 5642760 7805818 7938120 11708727 15611636 19514545 23417454 31223272 39029090 46834908 58543635 78058180 93669816 117087270 156116360 234174540 468349080