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48540888 = 233211167367
BaseRepresentation
bin1011100100101…
…0110011011000
310101100010120200
42321022303120
544411302023
64452222200
71126406424
oct271126330
9111303520
1048540888
1125444540
121430a960
13a097226
146637b84
1543dc743
hex2e4acd8

48540888 has 96 divisors (see below), whose sum is σ = 144668160. Its totient is φ = 14581440.

The previous prime is 48540887. The next prime is 48540889. The reversal of 48540888 is 88804584.

It is a happy number.

48540888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48540887) and next prime (48540889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48540883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132081 + ... + 132447.

It is an arithmetic number, because the mean of its divisors is an integer number (1506960).

Almost surely, 248540888 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 48540888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72334080).

48540888 is an abundant number, since it is smaller than the sum of its proper divisors (96127272).

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

48540888 is a wasteful number, since it uses less digits than its factorization.

48540888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 48540888 is about 6967.1291074588. The cubic root of 48540888 is about 364.7841045128.

The spelling of 48540888 in words is "forty-eight million, five hundred forty thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 167 198 264 334 367 396 501 668 734 792 1002 1101 1336 1468 1503 1837 2004 2202 2936 3006 3303 3674 4008 4037 4404 5511 6012 6606 7348 8074 8808 11022 12024 12111 13212 14696 16148 16533 22044 24222 26424 32296 33066 36333 44088 48444 61289 66132 72666 96888 122578 132264 145332 183867 245156 290664 367734 490312 551601 674179 735468 1103202 1348358 1470936 2022537 2206404 2696716 4045074 4412808 5393432 6067611 8090148 12135222 16180296 24270444 48540888