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12049974 = 2321753743
BaseRepresentation
bin101101111101…
…111000110110
3211200012110100
4231331320312
511041044344
61110134530
7204265056
oct55757066
924605410
1012049974
116890362
124051446
13265b981
141859566
1510d0569
hexb7de36

12049974 has 48 divisors (see below), whose sum is σ = 28203552. Its totient is φ = 3704064.

The previous prime is 12049967. The next prime is 12049997. The reversal of 12049974 is 47994021.

12049974 = 3872 + 3882 + ... + 4542.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15847 + ... + 16589.

It is an arithmetic number, because the mean of its divisors is an integer number (587574).

Almost surely, 212049974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12049974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14101776).

12049974 is an abundant number, since it is smaller than the sum of its proper divisors (16153578).

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

12049974 is a wasteful number, since it uses less digits than its factorization.

12049974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12049974 is about 3471.3072465571. The cubic root of 12049974 is about 229.2602191850.

The spelling of 12049974 in words is "twelve million, forty-nine thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 51 53 102 106 153 159 306 318 477 743 901 954 1486 1802 2229 2703 4458 5406 6687 8109 12631 13374 16218 25262 37893 39379 75786 78758 113679 118137 227358 236274 354411 669443 708822 1338886 2008329 4016658 6024987 12049974