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5024241432 = 233474325759
BaseRepresentation
bin1001010110111011…
…11101011100011000
3110222010222220120000
410223131331130120
540242201211212
62150314533000
7235335230130
oct45335753430
913863886500
105024241432
112149064a51
12b82737160
13620b98732
143593b1ac0
151e61441dc
hex12b77d718

5024241432 has 160 divisors (see below), whose sum is σ = 16457548800. Its totient is φ = 1402059456.

The previous prime is 5024241403. The next prime is 5024241479. The reversal of 5024241432 is 2341424205.

5024241432 is a `hidden beast` number, since 5 + 0 + 242 + 414 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5024241396 and 5024241405.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 182169 + ... + 207927.

It is an arithmetic number, because the mean of its divisors is an integer number (102859680).

Almost surely, 25024241432 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 5024241432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228774400).

5024241432 is an abundant number, since it is smaller than the sum of its proper divisors (11433307368).

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

5024241432 is a wasteful number, since it uses less digits than its factorization.

5024241432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25827 (or 25814 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 5024241432 is about 70881.8836657153. The cubic root of 5024241432 is about 1712.7349769882.

Adding to 5024241432 its reverse (2341424205), we get a palindrome (7365665637).

The spelling of 5024241432 in words is "five billion, twenty-four million, two hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 81 84 86 108 126 129 162 168 172 189 216 252 258 301 324 344 378 387 504 516 567 602 648 756 774 903 1032 1134 1161 1204 1512 1548 1806 2268 2322 2408 2709 3096 3483 3612 4536 4644 5418 6966 7224 8127 9288 10836 13932 16254 21672 24381 25759 27864 32508 48762 51518 65016 77277 97524 103036 154554 180313 195048 206072 231831 309108 360626 463662 540939 618216 695493 721252 927324 1081878 1107637 1390986 1442504 1622817 1854648 2086479 2163756 2215274 2781972 3245634 3322911 4172958 4327512 4430548 4868451 5563944 6491268 6645822 7753459 8345916 8861096 9736902 9968733 12982536 13291644 14605353 15506918 16691832 19473804 19937466 23260377 26583288 29210706 29906199 31013836 38947608 39874932 46520754 58421412 59812398 62027672 69781131 79749864 89718597 93041508 116842824 119624796 139562262 179437194 186083016 209343393 239249592 279124524 358874388 418686786 558249048 628030179 717748776 837373572 1256060358 1674747144 2512120716 5024241432