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48042638 = 273591187
BaseRepresentation
bin1011011101000…
…1001010001110
310100101211002222
42313101022032
544244331023
64433415342
71122233000
oct267211216
9110354088
1048042638
1125134166
121410a552
139c514c7
146548370
15433ecc8
hex2dd128e

48042638 has 32 divisors (see below), whose sum is σ = 85536000. Its totient is φ = 20223672.

The previous prime is 48042637. The next prime is 48042671. The reversal of 48042638 is 83624084.

48042638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 48042598 and 48042607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48042637) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39881 + ... + 41067.

It is an arithmetic number, because the mean of its divisors is an integer number (2673000).

Almost surely, 248042638 is an apocalyptic number.

48042638 is a deficient number, since it is larger than the sum of its proper divisors (37493362).

48042638 is a wasteful number, since it uses less digits than its factorization.

48042638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 48042638 is about 6931.2796798282. The cubic root of 48042638 is about 363.5316955915.

The spelling of 48042638 in words is "forty-eight million, forty-two thousand, six hundred thirty-eight".

Divisors: 1 2 7 14 49 59 98 118 343 413 686 826 1187 2374 2891 5782 8309 16618 20237 40474 58163 70033 116326 140066 407141 490231 814282 980462 3431617 6863234 24021319 48042638