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4681968 = 243103947
BaseRepresentation
bin10001110111000011110000
322210212110020
4101313003300
52144310333
6244203440
754540024
oct21670360
98725406
104681968
1127086a5
121699580
13c7c0c5
1489c384
156273b3
hex4770f0

4681968 has 40 divisors (see below), whose sum is σ = 12225408. Its totient is φ = 1543872.

The previous prime is 4681951. The next prime is 4681973. The reversal of 4681968 is 8691864.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 4471 + ... + 5417.

Almost surely, 24681968 is an apocalyptic number.

4681968 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 4681968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112704).

4681968 is an abundant number, since it is smaller than the sum of its proper divisors (7543440).

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

4681968 is a wasteful number, since it uses less digits than its factorization.

4681968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1055 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 4681968 is about 2163.7855716313. The cubic root of 4681968 is about 167.2923751051.

The spelling of 4681968 in words is "four million, six hundred eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 947 1236 1648 1894 2472 2841 3788 4944 5682 7576 11364 15152 22728 45456 97541 195082 292623 390164 585246 780328 1170492 1560656 2340984 4681968