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48766608 = 243211171811
BaseRepresentation
bin1011101000000…
…1111010010000
310101202121012200
42322001322100
544441012413
64501123200
71131336462
oct272017220
9111677180
1048766608
1125589090
12143b9500
13a145ba7
146696132
154434573
hex2e81e90

48766608 has 120 divisors (see below), whose sum is σ = 157730976. Its totient is φ = 13900800.

The previous prime is 48766583. The next prime is 48766651. The reversal of 48766608 is 80666784.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26023 + ... + 27833.

Almost surely, 248766608 is an apocalyptic number.

48766608 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 48766608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78865488).

48766608 is an abundant number, since it is smaller than the sum of its proper divisors (108964368).

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

48766608 is a wasteful number, since it uses less digits than its factorization.

48766608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 48766608 is about 6983.3092441908. The cubic root of 48766608 is about 365.3486579017.

The spelling of 48766608 in words is "forty-eight million, seven hundred sixty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 1811 2244 2448 2992 3366 3622 4488 5433 6732 7244 8976 10866 13464 14488 16299 19921 21732 26928 28976 30787 32598 39842 43464 59763 61574 65196 79684 86928 92361 119526 123148 130392 159368 179289 184722 239052 246296 260784 277083 318736 338657 358578 369444 478104 492592 554166 677314 717156 738888 956208 1015971 1108332 1354628 1434312 1477776 2031942 2216664 2709256 2868624 3047913 4063884 4433328 5418512 6095826 8127768 12191652 16255536 24383304 48766608