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48980736 = 283273037
BaseRepresentation
bin1011101011011…
…0001100000000
310102011110221100
42322312030000
5100014340421
64505454400
71133220660
oct272661400
9112143840
1048980736
1125714a52
12144a1400
13a1bc4ac
1467101a0
154477c26
hex2eb6300

48980736 has 108 divisors (see below), whose sum is σ = 161451472. Its totient is φ = 13989888.

The previous prime is 48980719. The next prime is 48980747. The reversal of 48980736 is 63708984.

It is a happy number.

It is a super-2 number, since 2×489807362 = 4798224998203392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48980691 and 48980700.

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 11 ways as a sum of consecutive naturals, for example, 14610 + ... + 17646.

Almost surely, 248980736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48980736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80725736).

48980736 is an abundant number, since it is smaller than the sum of its proper divisors (112470736).

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

48980736 is a wasteful number, since it uses less digits than its factorization.

48980736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 48980736 is about 6998.6238647323. The cubic root of 48980736 is about 365.8826103866.

It can be divided in two parts, 489 and 80736, that added together give a square (81225 = 2852).

The spelling of 48980736 in words is "forty-eight million, nine hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 3037 4032 5376 6074 8064 9111 12148 16128 18222 21259 24296 27333 36444 42518 48592 54666 63777 72888 85036 97184 109332 127554 145776 170072 191331 194368 218664 255108 291552 340144 382662 388736 437328 510216 583104 680288 765324 777472 874656 1020432 1166208 1360576 1530648 1749312 2040864 2332416 2721152 3061296 3498624 4081728 5442304 6122592 6997248 8163456 12245184 16326912 24490368 48980736