Search a number
-
+
45716256 = 2532181877
BaseRepresentation
bin1010111001100…
…1001100100000
310012000121220200
42232121030200
543200410011
64311505200
71063403355
oct256311440
9105017820
1045716256
1123895333
1213388200
139618651
14610062c
154030856
hex2b99320

45716256 has 72 divisors (see below), whose sum is σ = 130872924. Its totient is φ = 15137280.

The previous prime is 45716243. The next prime is 45716257. The reversal of 45716256 is 65261754.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44675856 + 1040400 = 6684^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45716256.

It is not an unprimeable number, because it can be changed into a prime (45716257) 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 11 ways as a sum of consecutive naturals, for example, 51690 + ... + 52566.

Almost surely, 245716256 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 45716256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65436462).

45716256 is an abundant number, since it is smaller than the sum of its proper divisors (85156668).

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

45716256 is a wasteful number, since it uses less digits than its factorization.

45716256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1063 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 45716256 is about 6761.3797408517. The cubic root of 45716256 is about 357.5665509305.

The spelling of 45716256 in words is "forty-five million, seven hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 181 288 362 543 724 877 1086 1448 1629 1754 2172 2631 2896 3258 3508 4344 5262 5792 6516 7016 7893 8688 10524 13032 14032 15786 17376 21048 26064 28064 31572 42096 52128 63144 84192 126288 158737 252576 317474 476211 634948 952422 1269896 1428633 1904844 2539792 2857266 3809688 5079584 5714532 7619376 11429064 15238752 22858128 45716256