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48316842 = 23272291889
BaseRepresentation
bin1011100001010…
…0000110101010
310100220202020200
42320110012222
544332114332
64443333030
71124454300
oct270240652
9110822220
1048316842
1125301182
1214221176
13a019262
1465ba270
15439617c
hex2e141aa

48316842 has 72 divisors (see below), whose sum is σ = 126044100. Its totient is φ = 13321728.

The previous prime is 48316841. The next prime is 48316843. The reversal of 48316842 is 24861384.

It is an interprime number because it is at equal distance from previous prime (48316841) and next prime (48316843).

It can be written as a sum of positive squares in 2 ways, for example, as 48316401 + 441 = 6951^2 + 21^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48316797 and 48316806.

It is not an unprimeable number, because it can be changed into a prime (48316841) 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, 24634 + ... + 26522.

Almost surely, 248316842 is an apocalyptic number.

48316842 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48316842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63022050).

48316842 is an abundant number, since it is smaller than the sum of its proper divisors (77727258).

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

48316842 is a wasteful number, since it uses less digits than its factorization.

48316842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1930 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 48316842 is about 6951.0317219820. The cubic root of 48316842 is about 364.2220046107. Note that the first 3 decimals are identical.

The spelling of 48316842 in words is "forty-eight million, three hundred sixteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 406 441 522 609 882 1218 1421 1827 1889 2842 3654 3778 4263 5667 8526 11334 12789 13223 17001 25578 26446 34002 39669 54781 79338 92561 109562 119007 164343 185122 238014 277683 328686 383467 493029 555366 766934 833049 986058 1150401 1666098 2300802 2684269 3451203 5368538 6902406 8052807 16105614 24158421 48316842