Search a number
-
+
5036252544 = 27333174597
BaseRepresentation
bin1001011000010111…
…10001110110000000
3110222222121010201000
410230023301312000
540303240040134
62151424212000
7235542304011
oct45413616600
913888533630
105036252544
112154919094
12b8676a000
136235127bb
1435ac1b008
151e7217e99
hex12c2f1d80

5036252544 has 128 divisors (see below), whose sum is σ = 14914072800. Its totient is φ = 1673091072.

The previous prime is 5036252539. The next prime is 5036252581. The reversal of 5036252544 is 4452526305.

5036252544 is a `hidden beast` number, since 5 + 0 + 3 + 62 + 52 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5036252499 and 5036252508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1093254 + ... + 1097850.

Almost surely, 25036252544 is an apocalyptic number.

5036252544 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 5036252544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7457036400).

5036252544 is an abundant number, since it is smaller than the sum of its proper divisors (9877820256).

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

5036252544 is a wasteful number, since it uses less digits than its factorization.

5036252544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4937 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 5036252544 is about 70966.5593360704. The cubic root of 5036252544 is about 1714.0987304628.

Adding to 5036252544 its reverse (4452526305), we get a palindrome (9488778849).

The spelling of 5036252544 in words is "five billion, thirty-six million, two hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 317 384 432 576 634 864 951 1152 1268 1728 1902 2536 2853 3456 3804 4597 5072 5706 7608 8559 9194 10144 11412 13791 15216 17118 18388 20288 22824 27582 30432 34236 36776 40576 41373 45648 55164 60864 68472 73552 82746 91296 110328 121728 124119 136944 147104 165492 182592 220656 248238 273888 294208 330984 365184 441312 496476 547776 588416 661968 882624 992952 1095552 1323936 1457249 1765248 1985904 2647872 2914498 3971808 4371747 5295744 5828996 7943616 8743494 11657992 13115241 15887232 17486988 23315984 26230482 34973976 39345723 46631968 52460964 69947952 78691446 93263936 104921928 139895904 157382892 186527872 209843856 279791808 314765784 419687712 559583616 629531568 839375424 1259063136 1678750848 2518126272 5036252544