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12209952 = 253193659
BaseRepresentation
bin101110100100…
…111100100000
3211222022220110
4232210330200
511111204302
61113411320
7205532346
oct56447440
924868813
1012209952
11698a577
124109b40
1326b6731
14189b996
151112b6c
hexba4f20

12209952 has 48 divisors (see below), whose sum is σ = 32266080. Its totient is φ = 4042752.

The previous prime is 12209947. The next prime is 12209959. The reversal of 12209952 is 25990221.

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

It is not an unprimeable number, because it can be changed into a prime (12209959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18199 + ... + 18857.

It is an arithmetic number, because the mean of its divisors is an integer number (672210).

Almost surely, 212209952 is an apocalyptic number.

12209952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12209952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16133040).

12209952 is an abundant number, since it is smaller than the sum of its proper divisors (20056128).

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

12209952 is a wasteful number, since it uses less digits than its factorization.

12209952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 12209952 is about 3494.2741735588. The cubic root of 12209952 is about 230.2703311643.

The spelling of 12209952 in words is "twelve million, two hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 579 659 772 1158 1318 1544 1977 2316 2636 3088 3954 4632 5272 6176 7908 9264 10544 15816 18528 21088 31632 63264 127187 254374 381561 508748 763122 1017496 1526244 2034992 3052488 4069984 6104976 12209952