Search a number
-
+
94628864 = 2101131271
BaseRepresentation
bin1011010001111…
…10110000000000
320121001122101202
411220332300000
5143211110424
613220120332
72226221621
oct550766000
9217048352
1094628864
1149463080
12278360a8
13167b2b15
14c7d3a48
1584932ae
hex5a3ec00

94628864 has 88 divisors (see below), whose sum is σ = 213805056. Its totient is φ = 41472000.

The previous prime is 94628839. The next prime is 94628867. The reversal of 94628864 is 46882649.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94628867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349049 + ... + 349319.

Almost surely, 294628864 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 94628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106902528).

94628864 is an abundant number, since it is smaller than the sum of its proper divisors (119176192).

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

94628864 is a wasteful number, since it uses less digits than its factorization.

94628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 315 counting only the distinct ones).

The product of its digits is 663552, while the sum is 47.

The square root of 94628864 is about 9727.7368385457. The cubic root of 94628864 is about 455.6952924843.

The spelling of 94628864 in words is "ninety-four million, six hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 271 341 352 496 512 542 682 704 992 1024 1084 1364 1408 1984 2168 2728 2816 2981 3968 4336 5456 5632 5962 7936 8401 8672 10912 11264 11924 15872 16802 17344 21824 23848 31744 33604 34688 43648 47696 67208 69376 87296 92411 95392 134416 138752 174592 184822 190784 268832 277504 349184 369644 381568 537664 739288 763136 1075328 1478576 1526272 2150656 2957152 3052544 4301312 5914304 8602624 11828608 23657216 47314432 94628864