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48388576 = 2553103277
BaseRepresentation
bin1011100010010…
…1100111100000
310101001101122111
42320211213200
544341413301
64445045104
71125203365
oct270454740
9111041574
1048388576
1125350065
1214256794
13a042ac2
1465d846c
1543ac551
hex2e259e0

48388576 has 48 divisors (see below), whose sum is σ = 98358624. Its totient is φ = 23422464.

The previous prime is 48388567. The next prime is 48388577. The reversal of 48388576 is 67588384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48388577) 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, 174550 + ... + 174826.

It is an arithmetic number, because the mean of its divisors is an integer number (2049138).

Almost surely, 248388576 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 48388576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49179312).

48388576 is an abundant number, since it is smaller than the sum of its proper divisors (49970048).

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

48388576 is a wasteful number, since it uses less digits than its factorization.

48388576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 49.

The square root of 48388576 is about 6956.1897616439. The cubic root of 48388576 is about 364.4021638879.

The spelling of 48388576 in words is "forty-eight million, three hundred eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 103 106 206 212 277 412 424 554 824 848 1108 1648 1696 2216 3296 4432 5459 8864 10918 14681 21836 28531 29362 43672 57062 58724 87344 114124 117448 174688 228248 234896 456496 469792 912992 1512143 3024286 6048572 12097144 24194288 48388576