[go: up one dir, main page]

Search a number
-
+
48549888 = 21233439
BaseRepresentation
bin1011100100110…
…1000000000000
310101100120221000
42321031000000
544412044023
64452332000
71126444602
oct271150000
9111316830
1048549888
1125450282
1214314000
13a09b35a
14663b172
1543e0243
hex2e4d000

48549888 has 104 divisors (see below), whose sum is σ = 144161600. Its totient is φ = 16146432.

The previous prime is 48549877. The next prime is 48549889. The reversal of 48549888 is 88894584.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48549889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110373 + ... + 110811.

Almost surely, 248549888 is an apocalyptic number.

48549888 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 48549888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72080800).

48549888 is an abundant number, since it is smaller than the sum of its proper divisors (95611712).

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

48549888 is an equidigital number, since it uses as much as digits as its factorization.

48549888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 444 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 48549888 is about 6967.7749676636. The cubic root of 48549888 is about 364.8066480783.

The spelling of 48549888 in words is "forty-eight million, five hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 439 512 576 768 864 878 1024 1152 1317 1536 1728 1756 2048 2304 2634 3072 3456 3512 3951 4096 4608 5268 6144 6912 7024 7902 9216 10536 11853 12288 13824 14048 15804 18432 21072 23706 27648 28096 31608 36864 42144 47412 55296 56192 63216 84288 94824 110592 112384 126432 168576 189648 224768 252864 337152 379296 449536 505728 674304 758592 899072 1011456 1348608 1517184 1798144 2022912 2697216 3034368 4045824 5394432 6068736 8091648 12137472 16183296 24274944 48549888