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5524538880 = 29357102763
BaseRepresentation
bin1010010010100100…
…11100011000000000
3112021000101122122010
411021102130120000
542303240221010
62312110012520
7253621543230
oct51122343000
915230348563
105524538880
112385504913
1210a21a7140
136a0726023
143a5a03cc0
1522501a620
hex14949c600

5524538880 has 160 divisors (see below), whose sum is σ = 20184493824. Its totient is φ = 1262739456.

The previous prime is 5524538791. The next prime is 5524538893. The reversal of 5524538880 is 888354255.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2379 + ... + 105141.

Almost surely, 25524538880 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 5524538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10092246912).

5524538880 is an abundant number, since it is smaller than the sum of its proper divisors (14659954944).

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

5524538880 is a wasteful number, since it uses less digits than its factorization.

5524538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102796 (or 102780 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 48.

The square root of 5524538880 is about 74327.2418430820. The cubic root of 5524538880 is about 1767.7954487182.

The spelling of 5524538880 in words is "five billion, five hundred twenty-four million, five hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 102763 205526 308289 411052 513815 616578 719341 822104 1027630 1233156 1438682 1541445 1644208 2055260 2158023 2466312 2877364 3082890 3288416 3596705 4110520 4316046 4932624 5754728 6165780 6576832 7193410 8221040 8632092 9865248 10790115 11509456 12331560 13153664 14386820 16442080 17264184 19730496 21580230 23018912 24663120 26307328 28773640 32884160 34528368 39460992 43160460 46037824 49326240 52614656 57547280 65768320 69056736 78921984 86320920 92075648 98652480 115094560 131536640 138113472 157843968 172641840 184151296 197304960 230189120 263073280 276226944 345283680 368302592 394609920 460378240 552453888 690567360 789219840 920756480 1104907776 1381134720 1841512960 2762269440 5524538880