Search a number
-
+
4244833020 = 22351725716193
BaseRepresentation
bin1111110100000011…
…0000001011111100
3101221211101212012210
43331000300023330
532143134124040
61541113300420
7210122325321
oct37500601374
911854355183
104244833020
11188910896a
129a5704710
1352857531c
142c3a86b48
1519c9d8480
hexfd0302fc

4244833020 has 96 divisors (see below), whose sum is σ = 12634429248. Its totient is φ = 1061158912.

The previous prime is 4244832989. The next prime is 4244833049. The reversal of 4244833020 is 203384424.

4244833020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254044 + ... + 270236.

It is an arithmetic number, because the mean of its divisors is an integer number (131608638).

It is the magic constant of a 2040 × 2040 magic square.

Almost surely, 24244833020 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 4244833020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317214624).

4244833020 is an abundant number, since it is smaller than the sum of its proper divisors (8389596228).

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

4244833020 is a wasteful number, since it uses less digits than its factorization.

4244833020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16479 (or 16477 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4244833020 is about 65152.3830723021. The cubic root of 4244833020 is about 1619.1492026972.

The spelling of 4244833020 in words is "four billion, two hundred forty-four million, eight hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 257 340 510 514 771 1020 1028 1285 1542 2570 3084 3855 4369 5140 7710 8738 13107 15420 16193 17476 21845 26214 32386 43690 48579 52428 64772 65535 80965 87380 97158 131070 161930 194316 242895 262140 275281 323860 485790 550562 825843 971580 1101124 1376405 1651686 2752810 3303372 4129215 4161601 5505620 8258430 8323202 12484803 16516860 16646404 20808005 24969606 41616010 49939212 62424015 70747217 83232020 124848030 141494434 212241651 249696060 282988868 353736085 424483302 707472170 848966604 1061208255 1414944340 2122416510 4244833020