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47878848 = 2632101823
BaseRepresentation
bin1011011010100…
…1001011000000
310100002111102200
42312221023000
544224110343
64430113200
71120651323
oct266511300
9110074380
1047878848
11250320a6
121404b800
139bc4aa4
1465047ba
15430b4d3
hex2da92c0

47878848 has 84 divisors (see below), whose sum is σ = 138763248. Its totient is φ = 15782400.

The previous prime is 47878813. The next prime is 47878867. The reversal of 47878848 is 84887874.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 47878794 and 47878803.

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 11 ways as a sum of consecutive naturals, for example, 57765 + ... + 58587.

Almost surely, 247878848 is an apocalyptic number.

47878848 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 47878848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69381624).

47878848 is an abundant number, since it is smaller than the sum of its proper divisors (90884400).

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

47878848 is a wasteful number, since it uses less digits than its factorization.

47878848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 929 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The square root of 47878848 is about 6919.4543137447. The cubic root of 47878848 is about 363.1181001332.

The spelling of 47878848 in words is "forty-seven million, eight hundred seventy-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 144 192 202 288 303 404 576 606 808 823 909 1212 1616 1646 1818 2424 2469 3232 3292 3636 4848 4938 6464 6584 7272 7407 9696 9876 13168 14544 14814 19392 19752 26336 29088 29628 39504 52672 58176 59256 79008 83123 118512 158016 166246 237024 249369 332492 474048 498738 664984 748107 997476 1329968 1496214 1994952 2659936 2992428 3989904 5319872 5984856 7979808 11969712 15959616 23939424 47878848