Search a number
-
+
74936064 = 283753263
BaseRepresentation
bin1000111011101…
…10111100000000
312020000010221210
410131312330000
5123140423224
611234050120
71566642330
oct435667400
9166003853
1074936064
1139332635
1221119940
13126a9488
149d490c0
1568a3429
hex4776f00

74936064 has 144 divisors (see below), whose sum is σ = 233114112. Its totient is φ = 20926464.

The previous prime is 74936053. The next prime is 74936111. The reversal of 74936064 is 46063947.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284797 + ... + 285059.

It is an arithmetic number, because the mean of its divisors is an integer number (1618848).

Almost surely, 274936064 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 74936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116557056).

74936064 is an abundant number, since it is smaller than the sum of its proper divisors (158178048).

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

74936064 is a wasteful number, since it uses less digits than its factorization.

74936064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 74936064 is about 8656.5619041280. The cubic root of 74936064 is about 421.5964636694.

The spelling of 74936064 in words is "seventy-four million, nine hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 256 263 318 336 371 384 424 448 526 636 672 742 768 789 848 896 1052 1113 1272 1344 1484 1578 1696 1792 1841 2104 2226 2544 2688 2968 3156 3392 3682 4208 4452 5088 5376 5523 5936 6312 6784 7364 8416 8904 10176 11046 11872 12624 13568 13939 14728 16832 17808 20352 22092 23744 25248 27878 29456 33664 35616 40704 41817 44184 47488 50496 55756 58912 67328 71232 83634 88368 94976 97573 100992 111512 117824 142464 167268 176736 195146 201984 223024 235648 284928 292719 334536 353472 390292 446048 471296 585438 669072 706944 780584 892096 1170876 1338144 1413888 1561168 1784192 2341752 2676288 3122336 3568384 4683504 5352576 6244672 9367008 10705152 12489344 18734016 24978688 37468032 74936064