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486948 = 2237111731
BaseRepresentation
bin1110110111000100100
3220201222010
41312320210
5111040243
614234220
74065450
oct1667044
9821863
10486948
11302940
121b5970
13140847
14c9660
1599433
hex76e24

486948 has 96 divisors (see below), whose sum is σ = 1548288. Its totient is φ = 115200.

The previous prime is 486947. The next prime is 486949. The reversal of 486948 is 849684.

It is an interprime number because it is at equal distance from previous prime (486947) and next prime (486949).

It is a nialpdrome in base 14 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 486948.

It is not an unprimeable number, because it can be changed into a prime (486943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15693 + ... + 15723.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2486948 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 486948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774144).

486948 is an abundant number, since it is smaller than the sum of its proper divisors (1061340).

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

486948 is a wasteful number, since it uses less digits than its factorization.

486948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 71 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 486948 is about 697.8165948156. The cubic root of 486948 is about 78.6733292579.

It can be divided in two parts, 48 and 6948, that added together give a palindrome (6996).

The spelling of 486948 in words is "four hundred eighty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 31 33 34 42 44 51 62 66 68 77 84 93 102 119 124 132 154 186 187 204 217 231 238 308 341 357 372 374 434 462 476 527 561 651 682 714 748 868 924 1023 1054 1122 1302 1309 1364 1428 1581 2046 2108 2244 2387 2604 2618 3162 3689 3927 4092 4774 5236 5797 6324 7161 7378 7854 9548 11067 11594 14322 14756 15708 17391 22134 23188 28644 34782 40579 44268 69564 81158 121737 162316 243474 486948