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487096848 = 24337223011
BaseRepresentation
bin11101000010001…
…000001000010000
31020221120002021000
4131002020020100
51444144044343
6120200102000
715033153300
oct3502101020
91227502230
10487096848
1122aa54087
12117164900
1379bb7cb4
1448997600
152cb69ed3
hex1d088210

487096848 has 120 divisors (see below), whose sum is σ = 1626488160. Its totient is φ = 139164480.

The previous prime is 487096843. The next prime is 487096867. The reversal of 487096848 is 848690784.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 487096794 and 487096803.

It is not an unprimeable number, because it can be changed into a prime (487096843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9663 + ... + 32673.

It is an arithmetic number, because the mean of its divisors is an integer number (13554068).

Almost surely, 2487096848 is an apocalyptic number.

487096848 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 487096848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813244080).

487096848 is an abundant number, since it is smaller than the sum of its proper divisors (1139391312).

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

487096848 is a wasteful number, since it uses less digits than its factorization.

487096848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23042 (or 23023 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 487096848 is about 22070.2706825268. The cubic root of 487096848 is about 786.8134460707.

It can be divided in two parts, 48 and 7096848, that added together give a square (7096896 = 26642).

The spelling of 487096848 in words is "four hundred eighty-seven million, ninety-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 23011 46022 69033 92044 138066 161077 184088 207099 276132 322154 368176 414198 483231 552264 621297 644308 828396 966462 1104528 1127539 1242594 1288616 1449693 1656792 1932924 2255078 2485188 2577232 2899386 3313584 3382617 3865848 4349079 4510156 4970376 5798772 6765234 7731696 8698158 9020312 9940752 10147851 11597544 13530468 17396316 18040624 20295702 23195088 27060936 30443553 34792632 40591404 54121872 60887106 69585264 81182808 121774212 162365616 243548424 487096848