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463814890 = 25731119647
BaseRepresentation
bin11011101001010…
…100000011101010
31012022202020102021
4123221110003222
51422214034030
6114005055054
714331235000
oct3351240352
91168666367
10463814890
112188a1aa0
1210b3b748a
1375125aa6
1445856a70
152aabb97a
hex1ba540ea

463814890 has 128 divisors (see below), whose sum is σ = 1119744000. Its totient is φ = 136745280.

The previous prime is 463814887. The next prime is 463814959. The reversal of 463814890 is 98418364.

It is a super-3 number, since 3×4638148903 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 716547 + ... + 717193.

It is an arithmetic number, because the mean of its divisors is an integer number (8748000).

Almost surely, 2463814890 is an apocalyptic number.

463814890 is an abundant number, since it is smaller than the sum of its proper divisors (655929110).

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

463814890 is a wasteful number, since it uses less digits than its factorization.

463814890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 463814890 is about 21536.3620419048. The cubic root of 463814890 is about 774.0723635735.

The spelling of 463814890 in words is "four hundred sixty-three million, eight hundred fourteen thousand, eight hundred ninety".

Divisors: 1 2 5 7 10 11 14 19 22 35 38 49 55 70 77 95 98 110 133 154 190 209 245 266 343 385 418 490 539 647 665 686 770 931 1045 1078 1294 1330 1463 1715 1862 2090 2695 2926 3235 3430 3773 4529 4655 5390 6470 6517 7117 7315 7546 9058 9310 10241 12293 13034 14234 14630 18865 20482 22645 24586 31703 32585 35585 37730 45290 49819 51205 61465 63406 65170 71170 71687 86051 99638 102410 122930 135223 143374 158515 172102 221921 249095 270446 317030 348733 358435 430255 443842 498190 602357 676115 697466 716870 860510 946561 1109605 1204714 1352230 1743665 1893122 2219210 2441131 3011785 3487330 4216499 4732805 4882262 6023570 6625927 8432998 9465610 12205655 13251854 21082495 24411310 33129635 42164990 46381489 66259270 92762978 231907445 463814890