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4023648 = 25334657
BaseRepresentation
bin1111010110010101100000
321120102102000
433112111200
52012224043
6222124000
746125516
oct17262540
97512360
104023648
1122a9032
121420600
13aab575
1476a4b6
155472d3
hex3d6560

4023648 has 48 divisors (see below), whose sum is σ = 11738160. Its totient is φ = 1340928.

The previous prime is 4023631. The next prime is 4023653. The reversal of 4023648 is 8463204.

4023648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1465 + ... + 3192.

It is an arithmetic number, because the mean of its divisors is an integer number (244545).

Almost surely, 24023648 is an apocalyptic number.

4023648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4023648 is an abundant number, since it is smaller than the sum of its proper divisors (7714512).

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

4023648 is a wasteful number, since it uses less digits than its factorization.

4023648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4023648 is about 2005.9032877983. The cubic root of 4023648 is about 159.0523145761.

The spelling of 4023648 in words is "four million, twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4657 9314 13971 18628 27942 37256 41913 55884 74512 83826 111768 125739 149024 167652 223536 251478 335304 447072 502956 670608 1005912 1341216 2011824 4023648