Search a number
-
+
76243050 = 232521313033
BaseRepresentation
bin1001000101101…
…10000001101010
312022110112210200
410202312001222
5124004234200
611322053030
71614024642
oct442660152
9168415720
1076243050
113a045594
122164a176
1312a46340
14a1a9522
156a60800
hex48b606a

76243050 has 72 divisors (see below), whose sum is σ = 220613484. Its totient is φ = 18766080.

The previous prime is 76243039. The next prime is 76243109. The reversal of 76243050 is 5034267.

It is a happy number.

76243050 is a `hidden beast` number, since 7 + 624 + 30 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18224361 + 58018689 = 4269^2 + 7617^2 .

It is a Curzon number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 667 + ... + 12366.

Almost surely, 276243050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76243050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110306742).

76243050 is an abundant number, since it is smaller than the sum of its proper divisors (144370434).

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

76243050 is a wasteful number, since it uses less digits than its factorization.

76243050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13064 (or 13056 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 76243050 is about 8731.7266333756. The cubic root of 76243050 is about 424.0334204403.

The spelling of 76243050 in words is "seventy-six million, two hundred forty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 13033 26066 39099 65165 78198 117297 130330 169429 195495 234594 325825 338858 390990 508287 586485 651650 847145 977475 1016574 1172970 1524861 1694290 1954950 2541435 2932425 3049722 4235725 5082870 5864850 7624305 8471450 12707175 15248610 25414350 38121525 76243050