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5384813808 = 24311713792
BaseRepresentation
bin1010000001111010…
…11011110011110000
3111220021110212212110
411000331123303300
542012003020213
62250155125320
7250304106423
oct50075336360
914807425773
105384813808
112313650350
121063443840
1367a7b3b7a
143912319ba
15217b1a5c3
hex140f5bcf0

5384813808 has 120 divisors (see below), whose sum is σ = 15429833856. Its totient is φ = 1604534400.

The previous prime is 5384813803. The next prime is 5384813827. The reversal of 5384813808 is 8083184835.

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 (5384813803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14207763 + ... + 14208141.

Almost surely, 25384813808 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 5384813808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7714916928).

5384813808 is an abundant number, since it is smaller than the sum of its proper divisors (10045020048).

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

5384813808 is a wasteful number, since it uses less digits than its factorization.

5384813808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 5384813808 is about 73381.2905855437. The cubic root of 5384813808 is about 1752.7644804923.

The spelling of 5384813808 in words is "five billion, three hundred eighty-four million, eight hundred thirteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 379 426 528 568 758 781 852 1136 1137 1516 1562 1704 2274 2343 3032 3124 3408 4169 4548 4686 6064 6248 8338 9096 9372 12496 12507 16676 18192 18744 25014 26909 33352 37488 50028 53818 66704 80727 100056 107636 143641 161454 200112 215272 287282 295999 322908 430544 430923 574564 591998 645816 861846 887997 1149128 1183996 1291632 1580051 1723692 1775994 2298256 2367992 3160102 3447384 3551988 4735984 4740153 6320204 6894768 7103976 9480306 10198511 12640408 14207952 18960612 20397022 25280816 30595533 37921224 40794044 61191066 75842448 81588088 112183621 122382132 163176176 224367242 244764264 336550863 448734484 489528528 673101726 897468968 1346203452 1794937936 2692406904 5384813808