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11457376 = 25727307
BaseRepresentation
bin101011101101…
…001101100000
3210120002120021
4223231031200
510413114001
61045323224
7166246300
oct53551540
923502507
1011457376
116516107
123a06514
1324b2018
141743600
151014ba1
hexaed360

11457376 has 36 divisors (see below), whose sum is σ = 26243028. Its totient is φ = 4909632.

The previous prime is 11457367. The next prime is 11457401. The reversal of 11457376 is 67375411.

11457376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2086 + ... + 5221.

It is an arithmetic number, because the mean of its divisors is an integer number (728973).

Almost surely, 211457376 is an apocalyptic number.

11457376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11457376 is an abundant number, since it is smaller than the sum of its proper divisors (14785652).

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

11457376 is an equidigital number, since it uses as much as digits as its factorization.

11457376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7331 (or 7316 counting only the distinct ones).

The product of its digits is 17640, while the sum is 34.

The square root of 11457376 is about 3384.8745914731. The cubic root of 11457376 is about 225.4386570016.

The spelling of 11457376 in words is "eleven million, four hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 7307 14614 29228 51149 58456 102298 116912 204596 233824 358043 409192 716086 818384 1432172 1636768 2864344 5728688 11457376