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4244400252 = 2232612637349
BaseRepresentation
bin1111110011111100…
…0110100001111100
3101221210120212120100
43330333012201330
532143031302002
61541100121100
7210115543521
oct37477064174
911853525510
104244400252
111888942804
129a5536190
13528453351
142c39b3148
1519c95011c
hexfcfc687c

4244400252 has 72 divisors (see below), whose sum is σ = 10947736800. Its totient is φ = 1386126720.

The previous prime is 4244400239. The next prime is 4244400257. The reversal of 4244400252 is 2520044424.

4244400252 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 400 + 252 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244400257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573874 + ... + 581222.

It is an arithmetic number, because the mean of its divisors is an integer number (152051900).

Almost surely, 24244400252 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 4244400252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473868400).

4244400252 is an abundant number, since it is smaller than the sum of its proper divisors (6703336548).

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

4244400252 is a wasteful number, since it uses less digits than its factorization.

4244400252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7683 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 4244400252 is about 65149.0617891002. The cubic root of 4244400252 is about 1619.0941758152.

Adding to 4244400252 its reverse (2520044424), we get a palindrome (6764444676).

It can be divided in two parts, 4244 and 400252, that added together give a square (404496 = 6362).

The spelling of 4244400252 in words is "four billion, two hundred forty-four million, four hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 263 366 526 549 732 789 1052 1098 1578 2196 2367 3156 4734 7349 9468 14698 16043 22047 29396 32086 44094 48129 64172 66141 88188 96258 132282 144387 192516 264564 288774 448289 577548 896578 1344867 1793156 1932787 2689734 3865574 4034601 5379468 5798361 7731148 8069202 11596722 16138404 17395083 23193444 34790166 69580332 117900007 235800014 353700021 471600028 707400042 1061100063 1414800084 2122200126 4244400252