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11825028 = 223436497
BaseRepresentation
bin101101000110…
…111110000100
3211020202220000
4231012332010
511011400103
61101241300
7202340205
oct55067604
924222800
1011825028
116747356
123b63230
1325b0477
1417db5ac
151088aa3
hexb46f84

11825028 has 30 divisors (see below), whose sum is σ = 30913806. Its totient is φ = 3941568.

The previous prime is 11825017. The next prime is 11825029. The reversal of 11825028 is 82052811.

11825028 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 can be written as a sum of positive squares in only one way, i.e., 11819844 + 5184 = 3438^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11824992 and 11825010.

It is not an unprimeable number, because it can be changed into a prime (11825029) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17925 + ... + 18572.

Almost surely, 211825028 is an apocalyptic number.

11825028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11825028 is an abundant number, since it is smaller than the sum of its proper divisors (19088778).

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

11825028 is a wasteful number, since it uses less digits than its factorization.

11825028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36513 (or 36502 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11825028 is about 3438.7538440546. The cubic root of 11825028 is about 227.8246574318.

Adding to 11825028 its reverse (82052811), we get a palindrome (93877839).

The spelling of 11825028 in words is "eleven million, eight hundred twenty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 36497 72994 109491 145988 218982 328473 437964 656946 985419 1313892 1970838 2956257 3941676 5912514 11825028