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19149952 = 2741289
BaseRepresentation
bin100100100001…
…1010010000000
31100000220210111
41021003102000
514400244302
61522241104
7321525523
oct111032200
940026714
1019149952
11a89a708
1264b6194
133c76543
142786bba
151a340d7
hex1243480

19149952 has 48 divisors (see below), whose sum is σ = 39542850. Its totient is φ = 9236480.

The previous prime is 19149943. The next prime is 19149953. The reversal of 19149952 is 25994191.

It can be written as a sum of positive squares in 3 ways, for example, as 3594816 + 15555136 = 1896^2 + 3944^2 .

It is not an unprimeable number, because it can be changed into a prime (19149953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215124 + ... + 215212.

Almost surely, 219149952 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 19149952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19771425).

19149952 is an abundant number, since it is smaller than the sum of its proper divisors (20392898).

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

19149952 is an frugal number, since it uses more digits than its factorization.

19149952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 132 counting only the distinct ones).

The product of its digits is 29160, while the sum is 40.

The square root of 19149952 is about 4376.0658130334. The cubic root of 19149952 is about 267.5403124386.

The spelling of 19149952 in words is "nineteen million, one hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 89 128 164 178 328 356 656 712 1312 1424 1681 2624 2848 3362 3649 5248 5696 6724 7298 11392 13448 14596 26896 29192 53792 58384 107584 116768 149609 215168 233536 299218 467072 598436 1196872 2393744 4787488 9574976 19149952