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48256928 = 2529149349
BaseRepresentation
bin1011100000010…
…1011110100000
310100210201001122
42320011132200
544323210203
64442151412
71124114516
oct270053640
9110721048
1048256928
1125270165
12141b2568
139cc7bc5
1465a24b6
154383538
hex2e057a0

48256928 has 48 divisors (see below), whose sum is σ = 99225000. Its totient is φ = 23073792.

The previous prime is 48256927. The next prime is 48256939. The reversal of 48256928 is 82965284.

It can be written as a sum of positive squares in 4 ways, for example, as 38093584 + 10163344 = 6172^2 + 3188^2 .

It is not an unprimeable number, because it can be changed into a prime (48256927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138098 + ... + 138446.

Almost surely, 248256928 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 48256928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49612500).

48256928 is an abundant number, since it is smaller than the sum of its proper divisors (50968072).

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

48256928 is a wasteful number, since it uses less digits than its factorization.

48256928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 529 counting only the distinct ones).

The product of its digits is 276480, while the sum is 44.

The square root of 48256928 is about 6946.7206651772. The cubic root of 48256928 is about 364.0713944409.

The spelling of 48256928 in words is "forty-eight million, two hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 149 232 298 349 464 596 698 928 1192 1396 2384 2792 4321 4768 5584 8642 10121 11168 17284 20242 34568 40484 52001 69136 80968 104002 138272 161936 208004 323872 416008 832016 1508029 1664032 3016058 6032116 12064232 24128464 48256928