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5289423776 = 257213416329
BaseRepresentation
bin1001110110100011…
…00011001110100000
3111122121222120100022
410323101203032200
541313043030101
62232510413012
7245035234400
oct47321431640
914577876308
105289423776
11227481840a
121037501168
13663ac5770
143826c0800
1520e576a1b
hex13b4633a0

5289423776 has 144 divisors (see below), whose sum is σ = 13365845640. Its totient is φ = 2041159680.

The previous prime is 5289423773. The next prime is 5289423779. The reversal of 5289423776 is 6773249825.

It is an interprime number because it is at equal distance from previous prime (5289423773) and next prime (5289423779).

It can be written as a sum of positive squares in 4 ways, for example, as 2929407376 + 2360016400 = 54124^2 + 48580^2 .

It is a super-2 number, since 2×52894237762 = 55956007764228196352, which contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5289423773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 832580 + ... + 838908.

Almost surely, 25289423776 is an apocalyptic number.

5289423776 is a gapful number since it is divisible by the number (56) 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 5289423776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682922820).

5289423776 is an abundant number, since it is smaller than the sum of its proper divisors (8076421864).

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

5289423776 is a wasteful number, since it uses less digits than its factorization.

5289423776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6392 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 53.

The square root of 5289423776 is about 72728.4248145111. The cubic root of 5289423776 is about 1742.3528938744.

The spelling of 5289423776 in words is "five billion, two hundred eighty-nine million, four hundred twenty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 41 49 52 56 82 91 98 104 112 164 182 196 208 224 287 328 364 392 416 533 574 637 656 728 784 1066 1148 1274 1312 1456 1568 2009 2132 2296 2548 2912 3731 4018 4264 4592 5096 6329 7462 8036 8528 9184 10192 12658 14924 16072 17056 20384 25316 26117 29848 32144 44303 50632 52234 59696 64288 82277 88606 101264 104468 119392 164554 177212 202528 208936 259489 310121 329108 354424 417872 518978 575939 620242 658216 708848 835744 1037956 1151878 1240484 1316432 1417696 1816423 2075912 2303756 2480968 2632864 3373357 3632846 4031573 4151824 4607512 4961936 6746714 7265692 8063146 8303648 9215024 9923872 12714961 13493428 14531384 16126292 18430048 23613499 25429922 26986856 29062768 32252584 47226998 50859844 53973712 58125536 64505168 94453996 101719688 107947424 129010336 165294493 188907992 203439376 330588986 377815984 406878752 661177972 755631968 1322355944 2644711888 5289423776