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4098048 = 21132329
BaseRepresentation
bin1111101000100000000000
321201012110120
433220200000
52022114143
6223500240
746555443
oct17504000
97635416
104098048
112349a19
121457680
13b063a6
1478965a
1555e383
hex3e8800

4098048 has 96 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1261568.

The previous prime is 4098043. The next prime is 4098079. The reversal of 4098048 is 8408904.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4098043) by changing a digit.

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, 141298 + ... + 141326.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 24098048 is an apocalyptic number.

4098048 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 4098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

4098048 is an abundant number, since it is smaller than the sum of its proper divisors (7695552).

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

4098048 is a wasteful number, since it uses less digits than its factorization.

4098048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4098048 is about 2024.3636037036. The cubic root of 4098048 is about 160.0266622235.

The spelling of 4098048 in words is "four million, ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 174 184 192 232 256 276 348 368 384 464 512 552 667 696 736 768 928 1024 1104 1334 1392 1472 1536 1856 2001 2048 2208 2668 2784 2944 3072 3712 4002 4416 5336 5568 5888 6144 7424 8004 8832 10672 11136 11776 14848 16008 17664 21344 22272 23552 29696 32016 35328 42688 44544 47104 59392 64032 70656 85376 89088 128064 141312 170752 178176 256128 341504 512256 683008 1024512 1366016 2049024 4098048