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11456416 = 251272819
BaseRepresentation
bin101011101100…
…111110100000
3210120001020201
4223230332200
510413101131
61045314544
7166243426
oct53547640
923501221
1011456416
116515414
123a05a54
1324b175a
141743116
151014761
hexaecfa0

11456416 has 24 divisors (see below), whose sum is σ = 22740480. Its totient is φ = 5681088.

The previous prime is 11456413. The next prime is 11456437. The reversal of 11456416 is 61465411.

It is a super-4 number, since 4×114564164 (a number of 29 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (11456413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2655 + ... + 5473.

It is an arithmetic number, because the mean of its divisors is an integer number (947520).

Almost surely, 211456416 is an apocalyptic number.

11456416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11456416 is a deficient number, since it is larger than the sum of its proper divisors (11284064).

11456416 is a wasteful number, since it uses less digits than its factorization.

11456416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2948 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 11456416 is about 3384.7327811808. The cubic root of 11456416 is about 225.4323604128.

The spelling of 11456416 in words is "eleven million, four hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 127 254 508 1016 2032 2819 4064 5638 11276 22552 45104 90208 358013 716026 1432052 2864104 5728208 11456416