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48363296 = 252322857
BaseRepresentation
bin1011100001111…
…1011100100000
310101000002222012
42320133130200
544340111141
64444332052
71125036602
oct270373440
9111002865
1048363296
1125333073
1214244028
13a034447
1465cd172
1543a4ceb
hex2e1f720

48363296 has 36 divisors (see below), whose sum is σ = 99569862. Its totient is φ = 23122176.

The previous prime is 48363269. The next prime is 48363307. The reversal of 48363296 is 69236384.

48363296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37994896 + 10368400 = 6164^2 + 3220^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15500 + ... + 18356.

Almost surely, 248363296 is an apocalyptic number.

48363296 is a gapful number since it is divisible by the number (46) 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 48363296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49784931).

48363296 is an abundant number, since it is smaller than the sum of its proper divisors (51206566).

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

48363296 is a wasteful number, since it uses less digits than its factorization.

48363296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2882 counting only the distinct ones).

The product of its digits is 186624, while the sum is 41.

The square root of 48363296 is about 6954.3724375388. The cubic root of 48363296 is about 364.3386937318.

The spelling of 48363296 in words is "forty-eight million, three hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 2857 4232 5714 8464 11428 16928 22856 45712 65711 91424 131422 262844 525688 1051376 1511353 2102752 3022706 6045412 12090824 24181648 48363296