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4048968438 = 23317192310093
BaseRepresentation
bin1111000101010110…
…0101101011110110
3101110011211220112000
43301111211223312
531243013442223
61505435240130
7202223443464
oct36125455366
911404756460
104048968438
11179859aa09
1294bba9046
134c6b08418
142a5a5d834
1518a6e9543
hexf1565af6

4048968438 has 128 divisors (see below), whose sum is σ = 10465459200. Its totient is φ = 1150972416.

The previous prime is 4048968431. The next prime is 4048968439. The reversal of 4048968438 is 8348698404.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048968431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396120 + ... + 406212.

It is an arithmetic number, because the mean of its divisors is an integer number (81761400).

Almost surely, 24048968438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4048968438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232729600).

4048968438 is an abundant number, since it is smaller than the sum of its proper divisors (6416490762).

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

4048968438 is a wasteful number, since it uses less digits than its factorization.

4048968438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10163 (or 10157 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 4048968438 is about 63631.5050741376. The cubic root of 4048968438 is about 1593.8525091712.

The spelling of 4048968438 in words is "four billion, forty-eight million, nine hundred sixty-eight thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 19 23 27 34 38 46 51 54 57 69 102 114 138 153 171 207 306 323 342 391 414 437 459 513 621 646 782 874 918 969 1026 1173 1242 1311 1938 2346 2622 2907 3519 3933 5814 7038 7429 7866 8721 10093 10557 11799 14858 17442 20186 21114 22287 23598 30279 44574 60558 66861 90837 133722 171581 181674 191767 200583 232139 272511 343162 383534 401166 464278 514743 545022 575301 696417 1029486 1150602 1392834 1544229 1725903 2089251 3088458 3260039 3451806 3946363 4178502 4410641 4632687 5177709 6267753 6520078 7892726 8821282 9265374 9780117 10355418 11839089 12535506 13231923 19560234 23678178 26463846 29340351 35517267 39695769 58680702 71034534 74980897 79391538 88021053 106551801 119087307 149961794 176042106 213103602 224942691 238174614 449885382 674828073 1349656146 2024484219 4048968438