Search a number
-
+
5333249424 = 243314776259
BaseRepresentation
bin1001111011110001…
…01110110110010000
3111202200110010211110
410331320232312100
541410302440144
62241114013320
7246106605066
oct47570566620
914680403743
105333249424
112297531258
12104a117240
1366cbcb6b9
1438844c036
152133320b9
hex13de2ed90

5333249424 has 80 divisors (see below), whose sum is σ = 14524784640. Its totient is φ = 1683776640.

The previous prime is 5333249413. The next prime is 5333249431. The reversal of 5333249424 is 4249423335.

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, 31807 + ... + 108065.

It is an arithmetic number, because the mean of its divisors is an integer number (181559808).

Almost surely, 25333249424 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 5333249424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262392320).

5333249424 is an abundant number, since it is smaller than the sum of its proper divisors (9191535216).

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

5333249424 is a wasteful number, since it uses less digits than its factorization.

5333249424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76348 (or 76342 counting only the distinct ones).

The product of its digits is 311040, while the sum is 39.

The square root of 5333249424 is about 73029.0998438294. The cubic root of 5333249424 is about 1747.1517667302.

The spelling of 5333249424 in words is "five billion, three hundred thirty-three million, two hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 47 48 62 93 94 124 141 186 188 248 282 372 376 496 564 744 752 1128 1457 1488 2256 2914 4371 5828 8742 11656 17484 23312 34968 69936 76259 152518 228777 305036 457554 610072 915108 1220144 1830216 2364029 3584173 3660432 4728058 7092087 7168346 9456116 10752519 14184174 14336692 18912232 21505038 28368348 28673384 37824464 43010076 56736696 57346768 86020152 111109363 113473392 172040304 222218726 333328089 444437452 666656178 888874904 1333312356 1777749808 2666624712 5333249424