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48948096 = 273413109
BaseRepresentation
bin1011101010111…
…0001110000000
310102002211011110
42322232032000
5100012314341
64505043320
71133023551
oct272561600
9112084143
1048948096
11256a247a
1214486540
13a1aa692
146702328
15446d216
hex2eae380

48948096 has 64 divisors (see below), whose sum is σ = 133232400. Its totient is φ = 15912960.

The previous prime is 48948091. The next prime is 48948127. The reversal of 48948096 is 69084984.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×489480962 = 4791832204050432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48948091) 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, 14190 + ... + 17298.

Almost surely, 248948096 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 48948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66616200).

48948096 is an abundant number, since it is smaller than the sum of its proper divisors (84284304).

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

48948096 is a wasteful number, since it uses less digits than its factorization.

48948096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 48948096 is about 6996.2915891206. The cubic root of 48948096 is about 365.8013195016.

The spelling of 48948096 in words is "forty-eight million, nine hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3109 3936 5248 6218 7872 9327 12436 15744 18654 24872 37308 49744 74616 99488 127469 149232 198976 254938 298464 382407 397952 509876 596928 764814 1019752 1193856 1529628 2039504 3059256 4079008 6118512 8158016 12237024 16316032 24474048 48948096