Search a number
-
+
75073024 = 291311279
BaseRepresentation
bin1000111100110…
…00011000000000
312020021002211101
410132120120000
5123204314044
611241024144
71601052535
oct436303000
9166232741
1075073024
1139416524
1221185054
1312726910
149d82d8c
1568cdcd4
hex4798600

75073024 has 40 divisors (see below), whose sum is σ = 161552160. Its totient is φ = 34646016.

The previous prime is 75073021. The next prime is 75073027. The reversal of 75073024 is 42037057.

It is an interprime number because it is at equal distance from previous prime (75073021) and next prime (75073027).

It is a junction number, because it is equal to n+sod(n) for n = 75072983 and 75073001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75073021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1017 + ... + 12295.

It is an arithmetic number, because the mean of its divisors is an integer number (4038804).

Almost surely, 275073024 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 75073024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80776080).

75073024 is an abundant number, since it is smaller than the sum of its proper divisors (86479136).

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

75073024 is a wasteful number, since it uses less digits than its factorization.

75073024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11310 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 75073024 is about 8664.4690547084. The cubic root of 75073024 is about 421.8531567584.

The spelling of 75073024 in words is "seventy-five million, seventy-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 11279 22558 45116 90232 146627 180464 293254 360928 586508 721856 1173016 1443712 2346032 2887424 4692064 5774848 9384128 18768256 37536512 75073024