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48816450 = 23252831307
BaseRepresentation
bin1011101000111…
…0000101000010
310101212010120200
42322032011002
544444111300
64502150030
71131635004
oct272160502
9111763520
1048816450
1125612581
1214422316
13a162797
1466aa374
154444200
hex2e8e142

48816450 has 72 divisors (see below), whose sum is σ = 132835248. Its totient is φ = 12851040.

The previous prime is 48816407. The next prime is 48816457. The reversal of 48816450 is 5461884.

48816450 is a `hidden beast` number, since 4 + 8 + 8 + 1 + 645 + 0 = 666.

It is a super-3 number, since 3×488164503 (a number of 24 digits) contains 333 as substring.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (48816457) 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 35 ways as a sum of consecutive naturals, for example, 36697 + ... + 38003.

It is an arithmetic number, because the mean of its divisors is an integer number (1844934).

Almost surely, 248816450 is an apocalyptic number.

48816450 is the 3735-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48816450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66417624).

48816450 is an abundant number, since it is smaller than the sum of its proper divisors (84018798).

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

48816450 is a wasteful number, since it uses less digits than its factorization.

48816450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 48816450 is about 6986.8769847479. The cubic root of 48816450 is about 365.4730839405.

The spelling of 48816450 in words is "forty-eight million, eight hundred sixteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 83 90 150 166 225 249 415 450 498 747 830 1245 1307 1494 2075 2490 2614 3735 3921 4150 6225 6535 7470 7842 11763 12450 13070 18675 19605 23526 32675 37350 39210 58815 65350 98025 108481 117630 196050 216962 294075 325443 542405 588150 650886 976329 1084810 1627215 1952658 2712025 3254430 4881645 5424050 8136075 9763290 16272150 24408225 48816450