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48531208804 = 221323722292
BaseRepresentation
bin101101001100101011…
…110111101001100100
311122021020000211212221
4231030223313221210
51243342442140204
634143412122124
73335435316451
oct551453675144
9148236024787
1048531208804
1119644669531
1294a5006344
134765686a00
1424c5632828
1513e0962654
hexb4caf7a64

48531208804 has 81 divisors (see below), whose sum is σ = 94932472257. Its totient is φ = 21698471808.

The previous prime is 48531208801. The next prime is 48531208823. The reversal of 48531208804 is 40880213584.

It is a happy number.

The square root of 48531208804 is 220298.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1927034404 + 46604174400 = 43898^2 + 215880^2 .

It is a super-2 number, since 2×485312088042 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48531208801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 211926562 + ... + 211926790.

Almost surely, 248531208804 is an apocalyptic number.

48531208804 is the 220298-th square number.

It is an amenable number.

48531208804 is a deficient number, since it is larger than the sum of its proper divisors (46401263453).

48531208804 is a wasteful number, since it uses less digits than its factorization.

48531208804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The spelling of 48531208804 in words is "forty-eight billion, five hundred thirty-one million, two hundred eight thousand, eight hundred four".

Divisors: 1 2 4 13 26 37 52 74 148 169 229 338 458 481 676 916 962 1369 1924 2738 2977 5476 5954 6253 8473 11908 12506 16946 17797 25012 33892 35594 38701 52441 71188 77402 104882 110149 154804 209764 220298 231361 313501 440596 462722 627002 681733 925444 1254004 1363466 1431937 1940317 2726932 2863874 3880634 4075513 5727748 7761268 8151026 8862529 16302052 17725058 25224121 35450116 50448242 52981669 71791729 100896484 105963338 143583458 211926676 287166916 327913573 655827146 933292477 1311654292 1866584954 3733169908 12132802201 24265604402 48531208804