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12038496 = 253891409
BaseRepresentation
bin101101111011…
…000101100000
3211122121201020
4231323011200
511040212441
61110005440
7204216441
oct55730540
924577636
1012038496
116882778
124046880
132656692
1418552c8
1510cbe66
hexb7b160

12038496 has 48 divisors (see below), whose sum is σ = 31978800. Its totient is φ = 3964928.

The previous prime is 12038489. The next prime is 12038501. The reversal of 12038496 is 69483021.

12038496 is digitally balanced in base 2 and base 4, because in such bases 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 (48).

It is a congruent number.

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, 7840 + ... + 9248.

It is an arithmetic number, because the mean of its divisors is an integer number (666225).

Almost surely, 212038496 is an apocalyptic number.

12038496 is a gapful number since it is divisible by the number (16) 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 12038496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15989400).

12038496 is an abundant number, since it is smaller than the sum of its proper divisors (19940304).

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

12038496 is a wasteful number, since it uses less digits than its factorization.

12038496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 12038496 is about 3469.6535850139. The cubic root of 12038496 is about 229.1874034054.

The spelling of 12038496 in words is "twelve million, thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1409 1424 2136 2818 2848 4227 4272 5636 8454 8544 11272 16908 22544 33816 45088 67632 125401 135264 250802 376203 501604 752406 1003208 1504812 2006416 3009624 4012832 6019248 12038496