[go: up one dir, main page]

Search a number
-
+
67944448 = 214111329
BaseRepresentation
bin1000000110011…
…00000000000000
311201211221021001
410003030000000
5114343210243
610424141344
71453342525
oct403140000
9151757231
1067944448
1135397740
121a907854
13110cc020
14904914c
155e71a4d
hex40cc000

67944448 has 120 divisors (see below), whose sum is σ = 165145680. Its totient is φ = 27525120.

The previous prime is 67944439. The next prime is 67944473. The reversal of 67944448 is 84444976.

It is a junction number, because it is equal to n+sod(n) for n = 67944398 and 67944407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2342898 + ... + 2342926.

It is an arithmetic number, because the mean of its divisors is an integer number (1376214).

Almost surely, 267944448 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 67944448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82572840).

67944448 is an abundant number, since it is smaller than the sum of its proper divisors (97201232).

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

67944448 is a wasteful number, since it uses less digits than its factorization.

67944448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 55 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

The square root of 67944448 is about 8242.8422282608. The cubic root of 67944448 is about 408.0543308399.

The spelling of 67944448 in words is "sixty-seven million, nine hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 29 32 44 52 58 64 88 104 116 128 143 176 208 232 256 286 319 352 377 416 464 512 572 638 704 754 832 928 1024 1144 1276 1408 1508 1664 1856 2048 2288 2552 2816 3016 3328 3712 4096 4147 4576 5104 5632 6032 6656 7424 8192 8294 9152 10208 11264 12064 13312 14848 16384 16588 18304 20416 22528 24128 26624 29696 33176 36608 40832 45056 48256 53248 59392 66352 73216 81664 90112 96512 106496 118784 132704 146432 163328 180224 193024 212992 237568 265408 292864 326656 386048 475136 530816 585728 653312 772096 1061632 1171456 1306624 1544192 2123264 2342912 2613248 3088384 4246528 5226496 6176768 8493056 16986112 33972224 67944448