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48872448 = 210325303
BaseRepresentation
bin1011101001101…
…1110000000000
310101221222101200
42322123300000
5100002404243
64503301200
71132260162
oct272336000
9111858350
1048872448
1125650659
121444a800
13a182111
1466c2932
154455ad3
hex2e9bc00

48872448 has 66 divisors (see below), whose sum is σ = 141144744. Its totient is φ = 16287744.

The previous prime is 48872441. The next prime is 48872489. The reversal of 48872448 is 84427884.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48872441) 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 5 ways as a sum of consecutive naturals, for example, 6565 + ... + 11867.

Almost surely, 248872448 is an apocalyptic number.

48872448 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 48872448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70572372).

48872448 is an abundant number, since it is smaller than the sum of its proper divisors (92272296).

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

48872448 is a wasteful number, since it uses less digits than its factorization.

48872448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5329 (or 5308 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 48872448 is about 6990.8832060048. The cubic root of 48872448 is about 365.6127768870.

The spelling of 48872448 in words is "forty-eight million, eight hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 5303 9216 10606 15909 21212 31818 42424 47727 63636 84848 95454 127272 169696 190908 254544 339392 381816 509088 678784 763632 1018176 1357568 1527264 2036352 2715136 3054528 4072704 5430272 6109056 8145408 12218112 16290816 24436224 48872448