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3823968 = 25361653
BaseRepresentation
bin1110100101100101100000
321012021111110
432211211200
51434331333
6213543320
744334411
oct16454540
97167443
103823968
112182005
121344b40
13a3b705
14717808
15508063
hex3a5960

3823968 has 48 divisors (see below), whose sum is σ = 10218096. Its totient is φ = 1251840.

The previous prime is 3823951. The next prime is 3823973. The reversal of 3823968 is 8693283.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5530 + ... + 6182.

It is an arithmetic number, because the mean of its divisors is an integer number (212877).

Almost surely, 23823968 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 3823968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109048).

3823968 is an abundant number, since it is smaller than the sum of its proper divisors (6394128).

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

3823968 is a wasteful number, since it uses less digits than its factorization.

3823968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3823968 is about 1955.4968678062. The cubic root of 3823968 is about 156.3764740267.

The spelling of 3823968 in words is "three million, eight hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 653 732 976 1306 1464 1952 1959 2612 2928 3918 5224 5856 7836 10448 15672 20896 31344 39833 62688 79666 119499 159332 238998 318664 477996 637328 955992 1274656 1911984 3823968