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11828616 = 2333311489
BaseRepresentation
bin101101000111…
…110110001000
3211020221210220
4231013312020
511012003431
61101310040
7202353522
oct55076610
924227726
1011828616
11674a018
123b65320
1325b1ca7
1417dca12
151089b96
hexb47d88

11828616 has 32 divisors (see below), whose sum is σ = 29680800. Its totient is φ = 3928320.

The previous prime is 11828603. The next prime is 11828629. The reversal of 11828616 is 61682811.

11828616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11828603) and next prime (11828629).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7200 + ... + 8688.

It is an arithmetic number, because the mean of its divisors is an integer number (927525).

Almost surely, 211828616 is an apocalyptic number.

11828616 is the 1986-th octagonal number.

It is an amenable number.

11828616 is an abundant number, since it is smaller than the sum of its proper divisors (17852184).

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

11828616 is a wasteful number, since it uses less digits than its factorization.

11828616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1825 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 11828616 is about 3439.2755051028. The cubic root of 11828616 is about 227.8476976086.

The spelling of 11828616 in words is "eleven million, eight hundred twenty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 331 662 993 1324 1489 1986 2648 2978 3972 4467 5956 7944 8934 11912 17868 35736 492859 985718 1478577 1971436 2957154 3942872 5914308 11828616