Search a number
-
+
45556368 = 24311136637
BaseRepresentation
bin1010110111001…
…0001010010000
310011201111120220
42231302022100
543130300433
64304233040
71062136254
oct255621220
9104644526
1045556368
11237961a0
121330b780
139590940
14609c264
153eed2b3
hex2b72290

45556368 has 80 divisors (see below), whose sum is σ = 138282816. Its totient is φ = 12741120.

The previous prime is 45556367. The next prime is 45556373. The reversal of 45556368 is 86365554.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45556367) 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 15 ways as a sum of consecutive naturals, for example, 3546 + ... + 10182.

Almost surely, 245556368 is an apocalyptic number.

45556368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45556368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69141408).

45556368 is an abundant number, since it is smaller than the sum of its proper divisors (92726448).

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

45556368 is a wasteful number, since it uses less digits than its factorization.

45556368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672 (or 6666 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 45556368 is about 6749.5457624939. The cubic root of 45556368 is about 357.1492130221.

The spelling of 45556368 in words is "forty-five million, five hundred fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6637 6864 13274 19911 26548 39822 53096 73007 79644 86281 106192 146014 159288 172562 219021 258843 292028 318576 345124 438042 517686 584056 690248 876084 949091 1035372 1168112 1380496 1752168 1898182 2070744 2847273 3504336 3796364 4141488 5694546 7592728 11389092 15185456 22778184 45556368