Search a number
-
+
5364152304 = 24373437577
BaseRepresentation
bin1001111111011101…
…00111011111110000
3111211211121011121120
410333232213133300
541441210333204
62244140222240
7246633354000
oct47756473760
914754534546
105364152304
112302a19025
12105853a980
1367642b624
1438c5b4000
15215dd86d9
hex13fba77f0

5364152304 has 160 divisors (see below), whose sum is σ = 16538227200. Its totient is φ = 1496775168.

The previous prime is 5364152281. The next prime is 5364152309. The reversal of 5364152304 is 4032514635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5364152309) 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, 704164 + ... + 711740.

It is an arithmetic number, because the mean of its divisors is an integer number (103363920).

Almost surely, 25364152304 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 5364152304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8269113600).

5364152304 is an abundant number, since it is smaller than the sum of its proper divisors (11174074896).

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

5364152304 is a wasteful number, since it uses less digits than its factorization.

5364152304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7652 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 5364152304 is about 73240.3734561751. The cubic root of 5364152304 is about 1750.5198242415.

Adding to 5364152304 its reverse (4032514635), we get a palindrome (9396666939).

The spelling of 5364152304 in words is "five billion, three hundred sixty-four million, one hundred fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 49 56 84 86 98 112 129 147 168 172 196 258 294 301 336 343 344 392 516 588 602 686 688 784 903 1029 1032 1176 1204 1372 1806 2058 2064 2107 2352 2408 2744 3612 4116 4214 4816 5488 6321 7224 7577 8232 8428 12642 14448 14749 15154 16464 16856 22731 25284 29498 30308 33712 44247 45462 50568 53039 58996 60616 88494 90924 101136 106078 117992 121232 159117 176988 181848 212156 235984 318234 325811 353976 363696 371273 424312 636468 651622 707952 742546 848624 977433 1113819 1272936 1303244 1485092 1954866 2227638 2280677 2545872 2598911 2606488 2970184 3909732 4455276 4561354 5197822 5212976 5940368 6842031 7796733 7819464 8910552 9122708 10395644 13684062 15593466 15638928 15964739 17821104 18245416 20791288 27368124 31186932 31929478 36490832 41582576 47894217 54736248 62373864 63858956 95788434 109472496 111753173 124747728 127717912 191576868 223506346 255435824 335259519 383153736 447012692 670519038 766307472 894025384 1341038076 1788050768 2682076152 5364152304