Search a number
-
+
4775513808 = 2431319596827
BaseRepresentation
bin1000111001010010…
…01000111011010000
3110022210222020101210
410130221020323100
534240012420213
62105511500120
7226225124532
oct43451107320
913283866353
104775513808
11203072022a
12b13387640
135b14b0220
14334347852
151ce3b20c3
hex11ca48ed0

4775513808 has 160 divisors (see below), whose sum is σ = 14224089600. Its totient is φ = 1368258048.

The previous prime is 4775513807. The next prime is 4775513833. The reversal of 4775513808 is 8083155774.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4775513801) 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, 696091 + ... + 702917.

It is an arithmetic number, because the mean of its divisors is an integer number (88900560).

Almost surely, 24775513808 is an apocalyptic number.

4775513808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4775513808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112044800).

4775513808 is an abundant number, since it is smaller than the sum of its proper divisors (9448575792).

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

4775513808 is a wasteful number, since it uses less digits than its factorization.

4775513808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6929 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The square root of 4775513808 is about 69105.0924896277. The cubic root of 4775513808 is about 1683.9920428118.

The spelling of 4775513808 in words is "four billion, seven hundred seventy-five million, five hundred thirteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 59 76 78 104 114 118 152 156 177 208 228 236 247 304 312 354 456 472 494 624 708 741 767 912 944 988 1121 1416 1482 1534 1976 2242 2301 2832 2964 3068 3363 3952 4484 4602 5928 6136 6726 6827 8968 9204 11856 12272 13452 13654 14573 17936 18408 20481 26904 27308 29146 36816 40962 43719 53808 54616 58292 81924 87438 88751 109232 116584 129713 163848 174876 177502 233168 259426 266253 327696 349752 355004 389139 402793 518852 532506 699504 710008 778278 805586 1037704 1065012 1208379 1420016 1556556 1611172 1686269 2075408 2130024 2416758 3113112 3222344 3372538 4260048 4833516 5058807 5236309 6226224 6444688 6745076 7653067 9667032 10117614 10472618 13490152 15306134 15708927 19334064 20235228 20945236 22959201 26980304 30612268 31417854 40470456 41890472 45918402 61224536 62835708 80940912 83780944 91836804 99489871 122449072 125671416 183673608 198979742 251342832 298469613 367347216 397959484 596939226 795918968 1193878452 1591837936 2387756904 4775513808