Search a number
-
+
48846480 = 2435238849
BaseRepresentation
bin1011101001010…
…1011010010000
310101220122202220
42322111122100
5100001041410
64502541040
71132121364
oct272253220
9111818686
1048846480
11256330a1
1214437780
13a173357
1466b72a4
15444d070
hex2e95690

48846480 has 80 divisors (see below), whose sum is σ = 158025600. Its totient is φ = 12457984.

The previous prime is 48846451. The next prime is 48846517. The reversal of 48846480 is 8464884.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1096 + ... + 9944.

It is an arithmetic number, because the mean of its divisors is an integer number (1975320).

Almost surely, 248846480 is an apocalyptic number.

48846480 is a gapful number since it is divisible by the number (40) 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 48846480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79012800).

48846480 is an abundant number, since it is smaller than the sum of its proper divisors (109179120).

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

48846480 is a wasteful number, since it uses less digits than its factorization.

48846480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 48846480 is about 6989.0256831693. The cubic root of 48846480 is about 365.5480102340.

The spelling of 48846480 in words is "forty-eight million, eight hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 8849 17698 26547 35396 44245 53094 70792 88490 106188 132735 141584 176980 203527 212376 265470 353960 407054 424752 530940 610581 707920 814108 1017635 1061880 1221162 1628216 2035270 2123760 2442324 3052905 3256432 4070540 4884648 6105810 8141080 9769296 12211620 16282160 24423240 48846480