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468673776 = 2434834357
BaseRepresentation
bin11011111011110…
…110010011110000
31012122220002120000
4123323312103300
51424440030101
6114301150000
714420442564
oct3373662360
91178802500
10468673776
112206105aa
12110b5b300
137613757c
144635d6a4
152b22b486
hex1bef64f0

468673776 has 100 divisors (see below), whose sum is σ = 1373136072. Its totient is φ = 154306944.

The previous prime is 468673759. The next prime is 468673787. The reversal of 468673776 is 677376864.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105390 + ... + 109746.

Almost surely, 2468673776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468673776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686568036).

468673776 is an abundant number, since it is smaller than the sum of its proper divisors (904462296).

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

468673776 is a wasteful number, since it uses less digits than its factorization.

468673776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460 (or 4445 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 468673776 is about 21648.8747051665. The cubic root of 468673776 is about 776.7660183054.

The spelling of 468673776 in words is "four hundred sixty-eight million, six hundred seventy-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 249 324 332 432 498 648 664 747 996 1296 1328 1494 1992 2241 2988 3984 4357 4482 5976 6723 8714 8964 11952 13071 13446 17428 17928 26142 26892 34856 35856 39213 52284 53784 69712 78426 104568 107568 117639 156852 209136 235278 313704 352917 361631 470556 627408 705834 723262 941112 1084893 1411668 1446524 1882224 2169786 2823336 2893048 3254679 4339572 5646672 5786096 6509358 8679144 9764037 13018716 17358288 19528074 26037432 29292111 39056148 52074864 58584222 78112296 117168444 156224592 234336888 468673776