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468943104 = 2837194591
BaseRepresentation
bin11011111100111…
…000000100000000
31012200101210000010
4123330320010000
51430022134404
6114311024520
714422644030
oct3374700400
91180353003
10468943104
11220784993
1211106b140
1376200036
14463cd8c0
152b281189
hex1bf38100

468943104 has 144 divisors (see below), whose sum is σ = 1501767680. Its totient is φ = 126904320.

The previous prime is 468943103. The next prime is 468943129. The reversal of 468943104 is 401349864.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (468943103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99849 + ... + 104439.

Almost surely, 2468943104 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 468943104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750883840).

468943104 is an abundant number, since it is smaller than the sum of its proper divisors (1032824576).

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

468943104 is a wasteful number, since it uses less digits than its factorization.

468943104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 468943104 is about 21655.0941812775. The cubic root of 468943104 is about 776.9147818931.

The spelling of 468943104 in words is "four hundred sixty-eight million, nine hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1596 1792 1824 2128 2432 2688 3192 3648 4256 4591 4864 5376 6384 7296 8512 9182 12768 13773 14592 17024 18364 25536 27546 32137 34048 36728 51072 55092 64274 73456 87229 96411 102144 110184 128548 146912 174458 192822 220368 257096 261687 293824 348916 385644 440736 514192 523374 587648 610603 697832 771288 881472 1028384 1046748 1175296 1221206 1395664 1542576 1762944 1831809 2056768 2093496 2442412 2791328 3085152 3525888 3663618 4113536 4186992 4884824 5582656 6170304 7327236 8227072 8373984 9769648 11165312 12340608 14654472 16747968 19539296 22330624 24681216 29308944 33495936 39078592 58617888 66991872 78157184 117235776 156314368 234471552 468943104