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11914464 = 253791571
BaseRepresentation
bin101101011100…
…110011100000
3211102022120110
4231130303200
511022230324
61103211320
7203162022
oct55346340
924368513
1011914464
1167a8571
123ba6b40
1326120a3
141822012
1510a5329
hexb5cce0

11914464 has 48 divisors (see below), whose sum is σ = 31691520. Its totient is φ = 3918720.

The previous prime is 11914457. The next prime is 11914471. The reversal of 11914464 is 46441911.

11914464 is digitally balanced in base 2, because in such base 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 (11914457) and next prime (11914471).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 6799 + ... + 8369.

It is an arithmetic number, because the mean of its divisors is an integer number (660240).

Almost surely, 211914464 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 11914464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15845760).

11914464 is an abundant number, since it is smaller than the sum of its proper divisors (19777056).

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

11914464 is a wasteful number, since it uses less digits than its factorization.

11914464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1655 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 11914464 is about 3451.7334775443. The cubic root of 11914464 is about 228.3975826915.

The spelling of 11914464 in words is "eleven million, nine hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1571 1896 2528 3142 3792 4713 6284 7584 9426 12568 18852 25136 37704 50272 75408 124109 150816 248218 372327 496436 744654 992872 1489308 1985744 2978616 3971488 5957232 11914464