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4245454304 = 257132950273
BaseRepresentation
bin1111110100001100…
…0111110111100000
3101221212120102110022
43331003013313200
532143314014204
61541134453012
7210130523540
oct37503076740
911855512408
104245454304
1118894a2723
129a5964168
13528732050
142c3ba9320
1519caac5be
hexfd0c7de0

4245454304 has 96 divisors (see below), whose sum is σ = 10642000320. Its totient is φ = 1621573632.

The previous prime is 4245454289. The next prime is 4245454307. The reversal of 4245454304 is 4034545424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4245454307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59312 + ... + 109584.

It is an arithmetic number, because the mean of its divisors is an integer number (110854170).

Almost surely, 24245454304 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 4245454304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321000160).

4245454304 is an abundant number, since it is smaller than the sum of its proper divisors (6396546016).

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

4245454304 is a wasteful number, since it uses less digits than its factorization.

4245454304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50332 (or 50324 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

The square root of 4245454304 is about 65157.1508278255. The cubic root of 4245454304 is about 1619.2281930379.

Adding to 4245454304 its reverse (4034545424), we get a palindrome (8279999728).

The spelling of 4245454304 in words is "four billion, two hundred forty-five million, four hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 91 104 112 116 182 203 208 224 232 364 377 406 416 464 728 754 812 928 1456 1508 1624 2639 2912 3016 3248 5278 6032 6496 10556 12064 21112 42224 50273 84448 100546 201092 351911 402184 653549 703822 804368 1307098 1407644 1457917 1608736 2614196 2815288 2915834 4574843 5228392 5630576 5831668 9149686 10205419 10456784 11261152 11663336 18299372 18952921 20410838 20913568 23326672 36598744 37905842 40821676 46653344 73197488 75811684 81643352 132670447 146394976 151623368 163286704 265340894 303246736 326573408 530681788 606493472 1061363576 2122727152 4245454304