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13828808 = 2371941317
BaseRepresentation
bin110100110000…
…001011001000
3222000120120002
4310300023020
512020010213
61212222132
7225354140
oct64601310
928016502
1013828808
117895874
12476a948
132b32536
141b9d920
151332658
hexd302c8

13828808 has 64 divisors (see below), whose sum is σ = 32054400. Its totient is φ = 5460480.

The previous prime is 13828807. The next prime is 13828817. The reversal of 13828808 is 80882831.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (13828807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43466 + ... + 43782.

It is an arithmetic number, because the mean of its divisors is an integer number (500850).

Almost surely, 213828808 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 13828808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027200).

13828808 is an abundant number, since it is smaller than the sum of its proper divisors (18225592).

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

13828808 is a wasteful number, since it uses less digits than its factorization.

13828808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 13828808 is about 3718.7105292023. The cubic root of 13828808 is about 240.0278208490.

The spelling of 13828808 in words is "thirteen million, eight hundred twenty-eight thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 19 28 38 41 56 76 82 133 152 164 266 287 317 328 532 574 634 779 1064 1148 1268 1558 2219 2296 2536 3116 4438 5453 6023 6232 8876 10906 12046 12997 17752 21812 24092 25994 42161 43624 48184 51988 84322 90979 103976 168644 181958 246943 337288 363916 493886 727832 987772 1728601 1975544 3457202 6914404 13828808