Search a number
-
+
75078744 = 23313331727
BaseRepresentation
bin1000111100110…
…01110001011000
312020021101200020
410132121301120
5123210004434
611241110440
71601105316
oct436316130
9166241606
1075078744
113941a854
1221188420
13127293c0
149d850b6
1568d0849
hex4799c58

75078744 has 64 divisors (see below), whose sum is σ = 203024640. Its totient is φ = 22999680.

The previous prime is 75078733. The next prime is 75078769. The reversal of 75078744 is 44787057.

It is a junction number, because it is equal to n+sod(n) for n = 75078696 and 75078705.

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, 102909 + ... + 103635.

It is an arithmetic number, because the mean of its divisors is an integer number (3172260).

Almost surely, 275078744 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 75078744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101512320).

75078744 is an abundant number, since it is smaller than the sum of its proper divisors (127945896).

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

75078744 is a wasteful number, since it uses less digits than its factorization.

75078744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The square root of 75078744 is about 8664.7991321207. The cubic root of 75078744 is about 421.8638704993.

The spelling of 75078744 in words is "seventy-five million, seventy-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 331 662 727 993 1324 1454 1986 2181 2648 2908 3972 4303 4362 5816 7944 8606 8724 9451 12909 17212 17448 18902 25818 28353 34424 37804 51636 56706 75608 103272 113412 226824 240637 481274 721911 962548 1443822 1925096 2887644 3128281 5775288 6256562 9384843 12513124 18769686 25026248 37539372 75078744