Search a number
-
+
48098848 = 257172743
BaseRepresentation
bin1011011101111…
…0111000100000
310100111200012211
42313132320200
544303130343
64434531504
71122555610
oct267367040
9110450184
1048098848
1125172416
1214136b94
139c70c75
146560a40
15435179d
hex2ddee20

48098848 has 72 divisors (see below), whose sum is σ = 115117632. Its totient is φ = 19375104.

The previous prime is 48098833. The next prime is 48098857. The reversal of 48098848 is 84889084.

It is a super-3 number, since 3×480988483 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64365 + ... + 65107.

It is an arithmetic number, because the mean of its divisors is an integer number (1598856).

Almost surely, 248098848 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 48098848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57558816).

48098848 is an abundant number, since it is smaller than the sum of its proper divisors (67018784).

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

48098848 is a wasteful number, since it uses less digits than its factorization.

48098848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The square root of 48098848 is about 6935.3333012913. Note that the first 4 decimals coincide. The cubic root of 48098848 is about 363.6734179816.

The spelling of 48098848 in words is "forty-eight million, ninety-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 289 476 544 578 743 952 1156 1486 1904 2023 2312 2972 3808 4046 4624 5201 5944 8092 9248 10402 11888 12631 16184 20804 23776 25262 32368 41608 50524 64736 83216 88417 101048 166432 176834 202096 214727 353668 404192 429454 707336 858908 1414672 1503089 1717816 2829344 3006178 3435632 6012356 6871264 12024712 24049424 48098848