Search a number
-
+
75627396 = 223213533049
BaseRepresentation
bin1001000000111…
…11101110000100
312021022021021200
410200133232010
5123330034041
611300542500
71605552015
oct440375604
9167267250
1075627396
1139764a89
12213b1a30
131288c050
14a08900c
15698d1b6
hex481fb84

75627396 has 72 divisors (see below), whose sum is σ = 209827800. Its totient is φ = 22823424.

The previous prime is 75627379. The next prime is 75627401. The reversal of 75627396 is 69372657.

It can be written as a sum of positive squares in 4 ways, for example, as 562500 + 75064896 = 750^2 + 8664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23280 + ... + 26328.

It is an arithmetic number, because the mean of its divisors is an integer number (2914275).

Almost surely, 275627396 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 75627396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104913900).

75627396 is an abundant number, since it is smaller than the sum of its proper divisors (134200404).

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

75627396 is a wasteful number, since it uses less digits than its factorization.

75627396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3120 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 75627396 is about 8696.4013246860. The cubic root of 75627396 is about 422.8889938920. Note that the first 3 decimals are identical.

The spelling of 75627396 in words is "seventy-five million, six hundred twenty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 954 1378 1908 2067 2756 3049 4134 6098 6201 8268 9147 12196 12402 18294 24804 27441 36588 39637 54882 79274 109764 118911 158548 161597 237822 323194 356733 475644 484791 646388 713466 969582 1426932 1454373 1939164 2100761 2908746 4201522 5817492 6302283 8403044 12604566 18906849 25209132 37813698 75627396