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11048004 = 223211231213
BaseRepresentation
bin101010001001…
…010001000100
3202210022000100
4222021101010
510312014004
61032444100
7162622632
oct52112104
922708010
1011048004
116266590
123849630
13239a8a6
141678352
15e83739
hexa89444

11048004 has 72 divisors (see below), whose sum is σ = 31816512. Its totient is φ = 3199680.

The previous prime is 11048003. The next prime is 11048017. The reversal of 11048004 is 40084011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11048003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8502 + ... + 9714.

It is an arithmetic number, because the mean of its divisors is an integer number (441896).

Almost surely, 211048004 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 11048004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15908256).

11048004 is an abundant number, since it is smaller than the sum of its proper divisors (20768508).

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

11048004 is a wasteful number, since it uses less digits than its factorization.

11048004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11048004 is about 3323.8537873980. The cubic root of 11048004 is about 222.7210545586.

The spelling of 11048004 in words is "eleven million, forty-eight thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1213 1518 2277 2426 3036 3639 4554 4852 7278 9108 10917 13343 14556 21834 26686 27899 40029 43668 53372 55798 80058 83697 111596 120087 160116 167394 240174 251091 306889 334788 480348 502182 613778 920667 1004364 1227556 1841334 2762001 3682668 5524002 11048004