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4116608 = 27291109
BaseRepresentation
bin1111101101000010000000
321202010220222
433231002000
52023212413
6224122212
746663526
oct17550200
97663828
104116608
112361961
121466368
13b11982
14792316
15564b08
hex3ed080

4116608 has 32 divisors (see below), whose sum is σ = 8491500. Its totient is φ = 1985536.

The previous prime is 4116587. The next prime is 4116617. The reversal of 4116608 is 8066114.

It can be written as a sum of positive squares in 2 ways, for example, as 3717184 + 399424 = 1928^2 + 632^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×41166082 = 33892922851328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3158 + ... + 4266.

Almost surely, 24116608 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 4116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245750).

4116608 is an abundant number, since it is smaller than the sum of its proper divisors (4374892).

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

4116608 is a wasteful number, since it uses less digits than its factorization.

4116608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 4116608 is about 2028.9425817405. The cubic root of 4116608 is about 160.2678845696.

The spelling of 4116608 in words is "four million, one hundred sixteen thousand, six hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1109 1856 2218 3712 4436 8872 17744 32161 35488 64322 70976 128644 141952 257288 514576 1029152 2058304 4116608