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48686848 = 287101269
BaseRepresentation
bin1011100110111…
…0011100000000
310101121112210121
42321232130000
544430434343
64455310024
71130555110
oct271563400
9111545717
1048686848
1125534171
121437b314
13a1187b2
146675040
15441aaed
hex2e6e700

48686848 has 72 divisors (see below), whose sum is σ = 112583520. Its totient is φ = 20582400.

The previous prime is 48686821. The next prime is 48686881. The reversal of 48686848 is 84868684.

It is a junction number, because it is equal to n+sod(n) for n = 48686795 and 48686804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180858 + ... + 181126.

It is an arithmetic number, because the mean of its divisors is an integer number (1563660).

Almost surely, 248686848 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 48686848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56291760).

48686848 is an abundant number, since it is smaller than the sum of its proper divisors (63896672).

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

48686848 is a wasteful number, since it uses less digits than its factorization.

48686848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 52.

The square root of 48686848 is about 6977.5961476715. The cubic root of 48686848 is about 365.1493677774.

The spelling of 48686848 in words is "forty-eight million, six hundred eighty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 128 202 224 256 269 404 448 538 707 808 896 1076 1414 1616 1792 1883 2152 2828 3232 3766 4304 5656 6464 7532 8608 11312 12928 15064 17216 22624 25856 27169 30128 34432 45248 54338 60256 68864 90496 108676 120512 180992 190183 217352 241024 380366 434704 482048 760732 869408 1521464 1738816 3042928 3477632 6085856 6955264 12171712 24343424 48686848