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11552816 = 2411411601
BaseRepresentation
bin101100000100…
…100000110000
3210201221111002
4230010200300
510424142231
61051341132
7200124452
oct54044060
923657432
1011552816
116580890
123a517a8
1325165b2
14176a2d2
1510330cb
hexb04830

11552816 has 40 divisors (see below), whose sum is σ = 25029648. Its totient is φ = 5120000.

The previous prime is 11552791. The next prime is 11552819. The reversal of 11552816 is 61825511.

It is not an unprimeable number, because it can be changed into a prime (11552819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6416 + ... + 8016.

Almost surely, 211552816 is an apocalyptic number.

11552816 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 11552816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12514824).

11552816 is an abundant number, since it is smaller than the sum of its proper divisors (13476832).

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

11552816 is a wasteful number, since it uses less digits than its factorization.

11552816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1655 counting only the distinct ones).

The product of its digits is 2400, while the sum is 29.

The square root of 11552816 is about 3398.9433652240. The cubic root of 11552816 is about 226.0628952783.

The spelling of 11552816 in words is "eleven million, five hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1601 1804 3202 3608 6404 7216 12808 17611 25616 35222 65641 70444 131282 140888 262564 281776 525128 722051 1050256 1444102 2888204 5776408 11552816