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113827808 = 2541101859
BaseRepresentation
bin1101100100011…
…01111111100000
321221012001101202
412302031333200
5213114442213
615143420332
72551343333
oct662157740
9257161352
10113827808
1159286576
12321546a8
131a775743
141119061a
159ed6b58
hex6c8dfe0

113827808 has 48 divisors (see below), whose sum is σ = 232107120. Its totient is φ = 54912000.

The previous prime is 113827807. The next prime is 113827811. The reversal of 113827808 is 808728311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113827807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132083 + ... + 132941.

It is an arithmetic number, because the mean of its divisors is an integer number (4835565).

Almost surely, 2113827808 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 113827808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116053560).

113827808 is an abundant number, since it is smaller than the sum of its proper divisors (118279312).

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

113827808 is a wasteful number, since it uses less digits than its factorization.

113827808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 113827808 is about 10669.0115755866. The cubic root of 113827808 is about 484.6365051916.

The spelling of 113827808 in words is "one hundred thirteen million, eight hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 41 82 101 164 202 328 404 656 808 859 1312 1616 1718 3232 3436 4141 6872 8282 13744 16564 27488 33128 35219 66256 70438 86759 132512 140876 173518 281752 347036 563504 694072 1127008 1388144 2776288 3557119 7114238 14228476 28456952 56913904 113827808