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2045453312 = 2107461619
BaseRepresentation
bin111100111101011…
…0010010000000000
312021112212210110002
41321322302100000
513142114001222
6534545055132
7101455031510
oct17172622000
95245783402
102045453312
1195a672391
124910274a8
13267a00106
1415592b840
15be890392
hex79eb2400

2045453312 has 88 divisors (see below), whose sum is σ = 4690741440. Its totient is φ = 873308160.

The previous prime is 2045453261. The next prime is 2045453321. The reversal of 2045453312 is 2133545402.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 3304139 + ... + 3304757.

It is an arithmetic number, because the mean of its divisors is an integer number (53303880).

Almost surely, 22045453312 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 2045453312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345370720).

2045453312 is an abundant number, since it is smaller than the sum of its proper divisors (2645288128).

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

2045453312 is an equidigital number, since it uses as much as digits as its factorization.

2045453312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2045453312 is about 45226.6880503094. The cubic root of 2045453312 is about 1269.3942410495.

Adding to 2045453312 its reverse (2133545402), we get a palindrome (4178998714).

The spelling of 2045453312 in words is "two billion, forty-five million, four hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 461 512 619 896 922 1024 1238 1792 1844 2476 3227 3584 3688 4333 4952 6454 7168 7376 8666 9904 12908 14752 17332 19808 25816 29504 34664 39616 51632 59008 69328 79232 103264 118016 138656 158464 206528 236032 277312 285359 316928 413056 472064 554624 570718 633856 826112 1109248 1141436 1652224 1997513 2218496 2282872 3304448 3995026 4436992 4565744 7990052 9131488 15980104 18262976 31960208 36525952 63920416 73051904 127840832 146103808 255681664 292207616 511363328 1022726656 2045453312