Search a number
-
+
48702528 = 2632747257
BaseRepresentation
bin1011100111001…
…0010001000000
310101122100022100
42321302101000
544431440103
64455510400
71130651610
oct271622100
9111570270
1048702528
1125544a26
1214388400
13a122984
14667aa40
1544205a3
hex2e72440

48702528 has 168 divisors, whose sum is σ = 163567872. Its totient is φ = 13565952.

The previous prime is 48702527. The next prime is 48702557. The reversal of 48702528 is 82520784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48702492 and 48702501.

It is not an unprimeable number, because it can be changed into a prime (48702527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189376 + ... + 189632.

Almost surely, 248702528 is an apocalyptic number.

48702528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48702528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81783936).

48702528 is an abundant number, since it is smaller than the sum of its proper divisors (114865344).

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

48702528 is a wasteful number, since it uses less digits than its factorization.

48702528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 48702528 is about 6978.7196533462. The cubic root of 48702528 is about 365.1885633560.

The spelling of 48702528 in words is "forty-eight million, seven hundred two thousand, five hundred twenty-eight".