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4374048 = 253723283
BaseRepresentation
bin10000101011111000100000
322020020001210
4100223320200
52104432143
6233430120
752115220
oct20537040
98206053
104374048
112518318
12156b340
13ba1bc3
1481c080
155b6033
hex42be20

4374048 has 96 divisors (see below), whose sum is σ = 13741056. Its totient is φ = 1191168.

The previous prime is 4374031. The next prime is 4374059. The reversal of 4374048 is 8404734.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15315 + ... + 15597.

It is an arithmetic number, because the mean of its divisors is an integer number (143136).

Almost surely, 24374048 is an apocalyptic number.

4374048 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 4374048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870528).

4374048 is an abundant number, since it is smaller than the sum of its proper divisors (9367008).

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

4374048 is a wasteful number, since it uses less digits than its factorization.

4374048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 4374048 is about 2091.4224824267. The cubic root of 4374048 is about 163.5414515817.

The spelling of 4374048 in words is "four million, three hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 283 322 336 368 483 552 566 644 672 736 849 966 1104 1132 1288 1698 1932 1981 2208 2264 2576 3396 3864 3962 4528 5152 5943 6509 6792 7728 7924 9056 11886 13018 13584 15456 15848 19527 23772 26036 27168 31696 39054 45563 47544 52072 63392 78108 91126 95088 104144 136689 156216 182252 190176 208288 273378 312432 364504 546756 624864 729008 1093512 1458016 2187024 4374048