Search a number
-
+
74514048 = 2737191459
BaseRepresentation
bin1000111000011…
…11111010000000
312012012201001120
410130033322000
5123033422143
611221032240
71563234060
oct434177200
9165181046
1074514048
1139074564
1220b55680
131258c36b
149c793a0
15681d383
hex470fe80

74514048 has 128 divisors (see below), whose sum is σ = 238272000. Its totient is φ = 20155392.

The previous prime is 74514007. The next prime is 74514059. The reversal of 74514048 is 84041547.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50343 + ... + 51801.

It is an arithmetic number, because the mean of its divisors is an integer number (1861500).

Almost surely, 274514048 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 74514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119136000).

74514048 is an abundant number, since it is smaller than the sum of its proper divisors (163757952).

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

74514048 is a wasteful number, since it uses less digits than its factorization.

74514048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 74514048 is about 8632.1519912476. The cubic root of 74514048 is about 420.8035410556.

The spelling of 74514048 in words is "seventy-four million, five hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1459 1596 1824 2128 2432 2688 2918 3192 3648 4256 4377 5836 6384 7296 8512 8754 10213 11672 12768 17024 17508 20426 23344 25536 27721 30639 35016 40852 46688 51072 55442 61278 70032 81704 83163 93376 110884 122556 140064 163408 166326 186752 194047 221768 245112 280128 326816 332652 388094 443536 490224 560256 582141 653632 665304 776188 887072 980448 1164282 1307264 1330608 1552376 1774144 1960896 2328564 2661216 3104752 3548288 3921792 4657128 5322432 6209504 9314256 10644864 12419008 18628512 24838016 37257024 74514048