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5302501824 = 263176912351
BaseRepresentation
bin1001111000000110…
…11100000111000000
3111200112121000001110
410330003130013000
541324420024244
62234055003320
7245254343664
oct47403340700
914615530043
105302501824
112281140114
12103b969540
13666724359
143843268a4
152107ab9b9
hex13c0dc1c0

5302501824 has 112 divisors (see below), whose sum is σ = 14882628096. Its totient is φ = 1660416000.

The previous prime is 5302501823. The next prime is 5302501843. The reversal of 5302501824 is 4281052035.

It is a junction number, because it is equal to n+sod(n) for n = 5302501791 and 5302501800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5302501823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2254249 + ... + 2256599.

It is an arithmetic number, because the mean of its divisors is an integer number (132880608).

Almost surely, 25302501824 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 5302501824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441314048).

5302501824 is an abundant number, since it is smaller than the sum of its proper divisors (9580126272).

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

5302501824 is a wasteful number, since it uses less digits than its factorization.

5302501824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5302501824 is about 72818.2794633326. The cubic root of 5302501824 is about 1743.7876954480.

Adding to 5302501824 its reverse (4281052035), we get a palindrome (9583553859).

The spelling of 5302501824 in words is "five billion, three hundred two million, five hundred one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 691 816 1088 1382 1632 2073 2351 2764 3264 4146 4702 5528 7053 8292 9404 11056 11747 14106 16584 18808 22112 23494 28212 33168 35241 37616 39967 44224 46988 56424 66336 70482 75232 79934 93976 112848 119901 132672 140964 150464 159868 187952 225696 239802 281928 319736 375904 451392 479604 563856 639472 751808 959208 1127712 1278944 1624541 1918416 2255424 2557888 3249082 3836832 4873623 6498164 7673664 9747246 12996328 19494492 25992656 27617197 38988984 51985312 55234394 77977968 82851591 103970624 110468788 155955936 165703182 220937576 311911872 331406364 441875152 662812728 883750304 1325625456 1767500608 2651250912 5302501824