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11328552 = 2333179293
BaseRepresentation
bin101011001101…
…110000101000
3210022112212000
4223031300220
510400003202
61042451000
7165201564
oct53156050
923275760
1011328552
116438344
123963a60
1324684b1
14170c6a4
15edb91c
hexacdc28

11328552 has 64 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 3742272.

The previous prime is 11328539. The next prime is 11328557. The reversal of 11328552 is 25582311.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (11328557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38518 + ... + 38810.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 211328552 is an apocalyptic number.

11328552 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 11328552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876000).

11328552 is an abundant number, since it is smaller than the sum of its proper divisors (20423448).

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

11328552 is a wasteful number, since it uses less digits than its factorization.

11328552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 11328552 is about 3365.7914373888. The cubic root of 11328552 is about 224.5905442118.

The spelling of 11328552 in words is "eleven million, three hundred twenty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 179 216 293 358 537 586 716 879 1074 1172 1432 1611 1758 2148 2344 2637 3222 3516 4296 4833 5274 6444 7032 7911 9666 10548 12888 15822 19332 21096 31644 38664 52447 63288 104894 157341 209788 314682 419576 472023 629364 944046 1258728 1416069 1888092 2832138 3776184 5664276 11328552