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4723768 = 237671259
BaseRepresentation
bin10010000001010000111000
322212222210101
4102001100320
52202130033
6245125144
755102630
oct22012070
98788711
104723768
112737045
1216b97b4
13c9513a
148ad6c0
1563497d
hex481438

4723768 has 32 divisors (see below), whose sum is σ = 10281600. Its totient is φ = 1992672.

The previous prime is 4723759. The next prime is 4723777. The reversal of 4723768 is 8673274.

It is an interprime number because it is at equal distance from previous prime (4723759) and next prime (4723777).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3123 + ... + 4381.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 24723768 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 4723768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140800).

4723768 is an abundant number, since it is smaller than the sum of its proper divisors (5557832).

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

4723768 is a wasteful number, since it uses less digits than its factorization.

4723768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1335 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 4723768 is about 2173.4231065303. The cubic root of 4723768 is about 167.7887556553.

The spelling of 4723768 in words is "four million, seven hundred twenty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 938 1259 1876 2518 3752 5036 8813 10072 17626 35252 70504 84353 168706 337412 590471 674824 1180942 2361884 4723768