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48264768 = 2633173153
BaseRepresentation
bin1011100000011…
…1011001000000
310100211002211000
42320013121000
544323433033
64442252000
71124146416
oct270073100
9110732730
1048264768
1125276042
12141b7000
139ccb646
1465a52b6
154385a13
hex2e07640

48264768 has 224 divisors, whose sum is σ = 158008320. Its totient is φ = 14376960.

The previous prime is 48264767. The next prime is 48264779. The reversal of 48264768 is 86746284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48264767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910630 + ... + 910682.

Almost surely, 248264768 is an apocalyptic number.

48264768 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 48264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79004160).

48264768 is an abundant number, since it is smaller than the sum of its proper divisors (109743552).

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

48264768 is a wasteful number, since it uses less digits than its factorization.

48264768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 48264768 is about 6947.2849372974. The cubic root of 48264768 is about 364.0911095042.

The spelling of 48264768 in words is "forty-eight million, two hundred sixty-four thousand, seven hundred sixty-eight".