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11252448 = 253289439
BaseRepresentation
bin101010111011…
…001011100000
3210011200110100
4222323023200
510340034243
61041102400
7164433654
oct52731340
923150410
1011252448
116396149
123927a00
13243c96c
1416cca64
15ec40d3
hexabb2e0

11252448 has 72 divisors (see below), whose sum is σ = 32432400. Its totient is φ = 3700224.

The previous prime is 11252447. The next prime is 11252459. The reversal of 11252448 is 84425211.

11252448 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11252447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25413 + ... + 25851.

It is an arithmetic number, because the mean of its divisors is an integer number (450450).

Almost surely, 211252448 is an apocalyptic number.

11252448 is a gapful number since it is divisible by the number (18) 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 11252448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216200).

11252448 is an abundant number, since it is smaller than the sum of its proper divisors (21179952).

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

11252448 is a wasteful number, since it uses less digits than its factorization.

11252448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 533 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 11252448 is about 3354.4668726938. The cubic root of 11252448 is about 224.0864887104.

Adding to 11252448 its reverse (84425211), we get a palindrome (95677659).

The spelling of 11252448 in words is "eleven million, two hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 439 534 712 801 878 1068 1317 1424 1602 1756 2136 2634 2848 3204 3512 3951 4272 5268 6408 7024 7902 8544 10536 12816 14048 15804 21072 25632 31608 39071 42144 63216 78142 117213 126432 156284 234426 312568 351639 468852 625136 703278 937704 1250272 1406556 1875408 2813112 3750816 5626224 11252448