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4264838496 = 2532191375689
BaseRepresentation
bin1111111000110100…
…0100010101100000
3102000020001020120100
43332031010111200
532213244312441
61543110142400
7210454346322
oct37615042540
912006036510
104264838496
111899432316
129b0351a00
1352c75b099
142c65b3612
1519e63acb6
hexfe344560

4264838496 has 144 divisors (see below), whose sum is σ = 12861903600. Its totient is φ = 1336725504.

The previous prime is 4264838471. The next prime is 4264838519. The reversal of 4264838496 is 6948384624.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 746820 + ... + 752508.

It is an arithmetic number, because the mean of its divisors is an integer number (89318775).

Almost surely, 24264838496 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 4264838496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6430951800).

4264838496 is an abundant number, since it is smaller than the sum of its proper divisors (8597065104).

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

4264838496 is a wasteful number, since it uses less digits than its factorization.

4264838496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5850 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 4264838496 is about 65305.7309583164. The cubic root of 4264838496 is about 1621.6888469075.

The spelling of 4264838496 in words is "four billion, two hundred sixty-four million, eight hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 137 144 152 171 228 274 288 304 342 411 456 548 608 684 822 912 1096 1233 1368 1644 1824 2192 2466 2603 2736 3288 4384 4932 5206 5472 5689 6576 7809 9864 10412 11378 13152 15618 17067 19728 20824 22756 23427 31236 34134 39456 41648 45512 46854 51201 62472 68268 83296 91024 93708 102402 108091 124944 136536 182048 187416 204804 216182 249888 273072 324273 374832 409608 432364 546144 648546 749664 779393 819216 864728 972819 1297092 1558786 1638432 1729456 1945638 2338179 2594184 3117572 3458912 3891276 4676358 5188368 6235144 7014537 7782552 9352716 10376736 12470288 14029074 14808467 15565104 18705432 24940576 28058148 29616934 31130208 37410864 44425401 56116296 59233868 74821728 88850802 112232592 118467736 133276203 177701604 224465184 236935472 266552406 355403208 473870944 533104812 710806416 1066209624 1421612832 2132419248 4264838496