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48207728 = 2431831171
BaseRepresentation
bin1011011111100…
…1011101110000
310100201012120102
42313321131300
544320121403
64441131532
71123521212
oct267713560
9110635512
1048207728
11252371a8
1214189ba8
139cab6aa
14658c5b2
154373b88
hex2df9770

48207728 has 40 divisors (see below), whose sum is σ = 97660416. Its totient is φ = 23025600.

The previous prime is 48207727. The next prime is 48207749. The reversal of 48207728 is 82770284.

It is a junction number, because it is equal to n+sod(n) for n = 48207691 and 48207700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48207727) 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, 40583 + ... + 41753.

Almost surely, 248207728 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 48207728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48830208).

48207728 is an abundant number, since it is smaller than the sum of its proper divisors (49452688).

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

48207728 is a wasteful number, since it uses less digits than its factorization.

48207728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 48207728 is about 6943.1785228381. The cubic root of 48207728 is about 363.9476235873.

The spelling of 48207728 in words is "forty-eight million, two hundred seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 31 62 83 124 166 248 332 496 664 1171 1328 2342 2573 4684 5146 9368 10292 18736 20584 36301 41168 72602 97193 145204 194386 290408 388772 580816 777544 1555088 3012983 6025966 12051932 24103864 48207728