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11474464 = 253143269
BaseRepresentation
bin101011110001…
…011000100000
3210120222000011
4223301120200
510414140324
61045534304
7166350151
oct53613040
923528004
1011474464
116527a31
123a14394
1324b9a31
141749928
151019c94
hexaf1620

11474464 has 48 divisors (see below), whose sum is σ = 23950080. Its totient is φ = 5402880.

The previous prime is 11474443. The next prime is 11474467. The reversal of 11474464 is 46447411.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (11474467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42522 + ... + 42790.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 211474464 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 11474464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975040).

11474464 is an abundant number, since it is smaller than the sum of its proper divisors (12475616).

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

11474464 is a wasteful number, since it uses less digits than its factorization.

11474464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 11474464 is about 3387.3978213372. The cubic root of 11474464 is about 225.5506774793.

The spelling of 11474464 in words is "eleven million, four hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 43 62 86 124 172 248 269 344 496 538 688 992 1076 1333 1376 2152 2666 4304 5332 8339 8608 10664 11567 16678 21328 23134 33356 42656 46268 66712 92536 133424 185072 266848 358577 370144 717154 1434308 2868616 5737232 11474464