Search a number
-
+
5872427316 = 2233711536737
BaseRepresentation
bin1010111100000011…
…00010000100110100
3120011021000012212000
411132001202010310
544011320133231
62410414255300
7265344544230
oct53601420464
916137005760
105872427316
112543917618
12117a7b7530
13727820082
143d9cc15c0
152458386e6
hex15e062134

5872427316 has 96 divisors (see below), whose sum is σ = 17417460480. Its totient is φ = 1676132352.

The previous prime is 5872427303. The next prime is 5872427339. The reversal of 5872427316 is 6137242785.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 868300 + ... + 875036.

It is an arithmetic number, because the mean of its divisors is an integer number (181431880).

Almost surely, 25872427316 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 5872427316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8708730240).

5872427316 is an abundant number, since it is smaller than the sum of its proper divisors (11545033164).

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

5872427316 is a wasteful number, since it uses less digits than its factorization.

5872427316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7910 (or 7902 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 5872427316 is about 76631.7644061521. The cubic root of 5872427316 is about 1804.1496152562.

The spelling of 5872427316 in words is "five billion, eight hundred seventy-two million, four hundred twenty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1153 2306 3459 4612 6737 6918 8071 10377 13474 13836 16142 20211 20754 24213 26948 31131 32284 40422 41508 47159 48426 60633 62262 72639 80844 94318 96852 121266 124524 141477 145278 181899 188636 217917 242532 282954 290556 363798 424431 435834 565908 727596 848862 871668 1273293 1697724 2546586 5093172 7767761 15535522 23303283 31071044 46606566 54374327 69909849 93213132 108748654 139819698 163122981 209729547 217497308 279639396 326245962 419459094 489368943 652491924 838918188 978737886 1468106829 1957475772 2936213658 5872427316