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12250752 = 27361523
BaseRepresentation
bin101110101110…
…111010000000
3212001101212120
4232232322000
511114011002
61114324240
7206062323
oct56567200
925041776
1012250752
116a08198
124129680
1326cc187
1418ac7ba
15111ecbc
hexbaee80

12250752 has 64 divisors (see below), whose sum is σ = 33137760. Its totient is φ = 4008960.

The previous prime is 12250741. The next prime is 12250769. The reversal of 12250752 is 25705221.

12250752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 23163 + ... + 23685.

Almost surely, 212250752 is an apocalyptic number.

12250752 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 12250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16568880).

12250752 is an abundant number, since it is smaller than the sum of its proper divisors (20887008).

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

12250752 is an equidigital number, since it uses as much as digits as its factorization.

12250752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 12250752 is about 3500.1074269228. The cubic root of 12250752 is about 230.5265315786.

Adding to 12250752 its reverse (25705221), we get a palindrome (37955973).

The spelling of 12250752 in words is "twelve million, two hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 523 732 976 1046 1464 1569 1952 2092 2928 3138 3904 4184 5856 6276 7808 8368 11712 12552 16736 23424 25104 31903 33472 50208 63806 66944 95709 100416 127612 191418 200832 255224 382836 510448 765672 1020896 1531344 2041792 3062688 4083584 6125376 12250752