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11882952 = 2332165041
BaseRepresentation
bin101101010101…
…000111001000
3211100201100100
4231111013020
511020223302
61102405400
7203001114
oct55250710
924321310
1011882952
116786924
123b90860
132600943
141814744
15109ad1c
hexb551c8

11882952 has 24 divisors (see below), whose sum is σ = 32183190. Its totient is φ = 3960960.

The previous prime is 11882947. The next prime is 11882977. The reversal of 11882952 is 25928811.

It can be written as a sum of positive squares in only one way, i.e., 7986276 + 3896676 = 2826^2 + 1974^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 82449 + ... + 82592.

Almost surely, 211882952 is an apocalyptic number.

11882952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11882952 is an abundant number, since it is smaller than the sum of its proper divisors (20300238).

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

11882952 is a wasteful number, since it uses less digits than its factorization.

11882952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165053 (or 165046 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 11882952 is about 3447.1657923575. The cubic root of 11882952 is about 228.1960456018.

The spelling of 11882952 in words is "eleven million, eight hundred eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 165041 330082 495123 660164 990246 1320328 1485369 1980492 2970738 3960984 5941476 11882952