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4401013552 = 2413292139181
BaseRepresentation
bin1000001100101001…
…00010001100110000
3102100201021122121221
410012110202030300
533003124413202
62004412554424
7214026666205
oct40624421460
912321248557
104401013552
111959291691
12a29a82a14
13551a29440
142da6ddcac
151ab589037
hex106522330

4401013552 has 120 divisors (see below), whose sum is σ = 9631796720. Its totient is φ = 1936327680.

The previous prime is 4401013537. The next prime is 4401013553. The reversal of 4401013552 is 2553101044.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4401013553) 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 23 ways as a sum of consecutive naturals, for example, 24314902 + ... + 24315082.

Almost surely, 24401013552 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 4401013552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815898360).

4401013552 is an abundant number, since it is smaller than the sum of its proper divisors (5230783168).

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

4401013552 is a wasteful number, since it uses less digits than its factorization.

4401013552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 4401013552 is about 66340.1353028466. The cubic root of 4401013552 is about 1638.7683534675.

Adding to 4401013552 its reverse (2553101044), we get a palindrome (6954114596).

The spelling of 4401013552 in words is "four billion, four hundred one million, thirteen thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 139 181 208 232 278 362 377 464 556 724 754 841 1112 1448 1508 1682 1807 2224 2353 2896 3016 3364 3614 4031 4706 5249 6032 6728 7228 8062 9412 10498 10933 13456 14456 16124 18824 20996 21866 25159 28912 32248 37648 41992 43732 50318 52403 64496 68237 83984 87464 100636 104806 116899 136474 152221 174928 201272 209612 233798 272948 304442 327067 402544 419224 467596 545896 608884 654134 729611 838448 935192 1091792 1217768 1308268 1459222 1519687 1870384 1978873 2435536 2616536 2918444 3039374 3957746 5233072 5836888 6078748 7915492 9484943 11673776 12157496 15830984 18969886 21158719 24314992 31661968 37939772 42317438 75879544 84634876 151759088 169269752 275063347 338539504 550126694 1100253388 2200506776 4401013552