Search a number
-
+
5438825784 = 233377945533
BaseRepresentation
bin1010001000010110…
…11110010100111000
3112001001002222101000
411010023132110320
542114314411114
62255404525000
7251531153640
oct50413362470
915031088330
105438825784
112341091347
121079550760
13688a45412
14398491520
1521c738e09
hex1442de538

5438825784 has 128 divisors (see below), whose sum is σ = 17485056000. Its totient is φ = 1534246272.

The previous prime is 5438825779. The next prime is 5438825789. The reversal of 5438825784 is 4875288345.

5438825784 is a `hidden beast` number, since 5 + 4 + 388 + 257 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5438825779) and next prime (5438825789).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5438825784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5438825789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96682 + ... + 142214.

It is an arithmetic number, because the mean of its divisors is an integer number (136602000).

Almost surely, 25438825784 is an apocalyptic number.

5438825784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5438825784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742528000).

5438825784 is an abundant number, since it is smaller than the sum of its proper divisors (12046230216).

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

5438825784 is a wasteful number, since it uses less digits than its factorization.

5438825784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45634 (or 45624 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The square root of 5438825784 is about 73748.3951283009. The cubic root of 5438825784 is about 1758.6053198619.

The spelling of 5438825784 in words is "five billion, four hundred thirty-eight million, eight hundred twenty-five thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 79 84 108 126 158 168 189 216 237 252 316 378 474 504 553 632 711 756 948 1106 1422 1512 1659 1896 2133 2212 2844 3318 4266 4424 4977 5688 6636 8532 9954 13272 14931 17064 19908 29862 39816 45533 59724 91066 119448 136599 182132 273198 318731 364264 409797 546396 637462 819594 956193 1092792 1229391 1274924 1639188 1912386 2458782 2549848 2868579 3278376 3597107 3824772 4917564 5737158 7194214 7649544 8605737 9835128 10791321 11474316 14388428 17211474 21582642 22948632 25179749 28776856 32373963 34422948 43165284 50359498 64747926 68845896 75539247 86330568 97121889 100718996 129495852 151078494 194243778 201437992 226617741 258991704 302156988 388487556 453235482 604313976 679853223 776975112 906470964 1359706446 1812941928 2719412892 5438825784