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48048126 = 237337631
BaseRepresentation
bin1011011101001…
…0011111111110
310100102002122020
42313102133332
544300020001
64433501010
71122255000
oct267223776
9110362566
1048048126
11251382a5
1214111766
139c53b59
14654a370
154341736
hex2dd27fe

48048126 has 64 divisors (see below), whose sum is σ = 115276800. Its totient is φ = 13335840.

The previous prime is 48048107. The next prime is 48048139. The reversal of 48048126 is 62184084.

It is a super-2 number, since 2×480481262 = 4617244824223752, which contains 22 as substring.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75831 + ... + 76461.

It is an arithmetic number, because the mean of its divisors is an integer number (1801200).

Almost surely, 248048126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48048126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57638400).

48048126 is an abundant number, since it is smaller than the sum of its proper divisors (67228674).

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

48048126 is a wasteful number, since it uses less digits than its factorization.

48048126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 48048126 is about 6931.6755550155. The cubic root of 48048126 is about 363.5455373652.

The spelling of 48048126 in words is "forty-eight million, forty-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 343 518 631 686 777 1029 1262 1554 1813 1893 2058 3626 3786 4417 5439 8834 10878 12691 13251 23347 25382 26502 30919 38073 46694 61838 70041 76146 92757 140082 163429 185514 216433 326858 432866 490287 649299 980574 1144003 1298598 2288006 3432009 6864018 8008021 16016042 24024063 48048126