Search a number
-
+
3939263928 = 233441672213
BaseRepresentation
bin1110101011001100…
…0110010110111000
3101011112102100020000
43222303012112320
531031422421203
61450520033000
7166422122325
oct35263062670
911145370200
103939263928
111741680326
1291b302760
134aa177702
14295263b4c
15180c794a3
hexeacc65b8

3939263928 has 160 divisors (see below), whose sum is σ = 11476578960. Its totient is φ = 1261370880.

The previous prime is 3939263903. The next prime is 3939263929. The reversal of 3939263928 is 8293629393.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3939263929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1778950 + ... + 1781162.

Almost surely, 23939263928 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 3939263928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738289480).

3939263928 is an abundant number, since it is smaller than the sum of its proper divisors (7537315032).

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

3939263928 is a wasteful number, since it uses less digits than its factorization.

3939263928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2326 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 3939263928 is about 62763.5557310132. Note that the first 3 decimals coincide. The cubic root of 3939263928 is about 1579.3256653447.

The spelling of 3939263928 in words is "three billion, nine hundred thirty-nine million, two hundred sixty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 67 72 81 82 108 123 134 162 164 201 216 246 268 324 328 369 402 492 536 603 648 738 804 984 1107 1206 1476 1608 1809 2213 2214 2412 2747 2952 3321 3618 4426 4428 4824 5427 5494 6639 6642 7236 8241 8852 8856 10854 10988 13278 13284 14472 16482 17704 19917 21708 21976 24723 26556 26568 32964 39834 43416 49446 53112 59751 65928 74169 79668 90733 98892 119502 148271 148338 159336 179253 181466 197784 222507 239004 272199 296542 296676 358506 362932 444813 445014 478008 544398 593084 593352 717012 725864 816597 889626 890028 1088796 1186168 1334439 1434024 1633194 1779252 1780056 2177592 2449791 2668878 3266388 3558504 4003317 4899582 5337756 6079111 6532776 7349373 8006634 9799164 10675512 12009951 12158222 14698746 16013268 18237333 19598328 24019902 24316444 29397492 32026536 36474666 48039804 48632888 54711999 58794984 72949332 96079608 109423998 145898664 164135997 218847996 328271994 437695992 492407991 656543988 984815982 1313087976 1969631964 3939263928