Search a number
-
+
74953728 = 210332711
BaseRepresentation
bin1000111011110…
…11010000000000
312020001001012000
410131323100000
5123142004403
611234304000
71600044663
oct435732000
9166031160
1074953728
1139344933
1221128000
13126b4525
149d516da
1568a87a3
hex477b400

74953728 has 88 divisors (see below), whose sum is σ = 222058560. Its totient is φ = 24975360.

The previous prime is 74953721. The next prime is 74953759. The reversal of 74953728 is 82735947.

It is a super-2 number, since 2×749537282 = 11236122682195968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74953721) 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, 26293 + ... + 29003.

Almost surely, 274953728 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 74953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111029280).

74953728 is an abundant number, since it is smaller than the sum of its proper divisors (147104832).

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

74953728 is a wasteful number, since it uses less digits than its factorization.

74953728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2716 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 74953728 is about 8657.5821104971. The cubic root of 74953728 is about 421.6295874395.

The spelling of 74953728 in words is "seventy-four million, nine hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 2711 3072 3456 4608 5422 6912 8133 9216 10844 13824 16266 21688 24399 27648 32532 43376 48798 65064 73197 86752 97596 130128 146394 173504 195192 260256 292788 347008 390384 520512 585576 694016 780768 1041024 1171152 1388032 1561536 2082048 2342304 2776064 3123072 4164096 4684608 6246144 8328192 9369216 12492288 18738432 24984576 37476864 74953728