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4024205244 = 22321997131463
BaseRepresentation
bin1110111111011100…
…0111111110111100
3101101110020210210200
43233313013332330
531220144031434
61503152403500
7201503115543
oct35767077674
911343223720
104024205244
111785616a64
12943846590
134c1947c47
142a265515a
15188457199
hexefdc7fbc

4024205244 has 144 divisors (see below), whose sum is σ = 10924193280. Its totient is φ = 1245404160.

The previous prime is 4024205243. The next prime is 4024205287. The reversal of 4024205244 is 4425024204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024205243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8691357 + ... + 8691819.

Almost surely, 24024205244 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 4024205244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462096640).

4024205244 is an abundant number, since it is smaller than the sum of its proper divisors (6899988036).

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

4024205244 is a wasteful number, since it uses less digits than its factorization.

4024205244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 715 counting only the distinct ones).

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

The square root of 4024205244 is about 63436.6238382845. The cubic root of 4024205244 is about 1590.5965674063.

Adding to 4024205244 its reverse (4425024204), we get a palindrome (8449229448).

The spelling of 4024205244 in words is "four billion, twenty-four million, two hundred five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 97 114 131 171 194 228 262 291 342 388 393 463 524 582 684 786 873 926 1164 1179 1389 1572 1746 1843 1852 2358 2489 2778 3492 3686 4167 4716 4978 5529 5556 7372 7467 8334 8797 9956 11058 12707 14934 16587 16668 17594 22116 22401 25414 26391 29868 33174 35188 38121 44802 44911 50828 52782 60653 66348 76242 79173 89604 89822 105564 114363 121306 134733 152484 158346 179644 181959 228726 241433 242612 269466 316692 363918 404199 457452 482866 538932 545877 724299 727836 808398 853309 965732 1091754 1152407 1448598 1616796 1706618 2172897 2183508 2304814 2559927 2897196 3413236 3457221 4345794 4609628 5119854 5883341 6914442 7679781 8691588 10239708 10371663 11766682 13828884 15359562 17650023 20743326 23533364 30719124 35300046 41486652 52950069 70600092 105900138 111783479 211800276 223566958 335350437 447133916 670700874 1006051311 1341401748 2012102622 4024205244