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11949408 = 253241491
BaseRepresentation
bin101101100101…
…010101100000
3211111002111200
4231211111200
511024340113
61104041200
7203365632
oct55452540
924432450
1011949408
116821849
124003200
132624c73
141830a52
1510b0873
hexb65560

11949408 has 36 divisors (see below), whose sum is σ = 33981948. Its totient is φ = 3983040.

The previous prime is 11949389. The next prime is 11949437. The reversal of 11949408 is 80494911.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

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, 20458 + ... + 21033.

It is an arithmetic number, because the mean of its divisors is an integer number (943943).

Almost surely, 211949408 is an apocalyptic number.

11949408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11949408 is an abundant number, since it is smaller than the sum of its proper divisors (22032540).

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

11949408 is a wasteful number, since it uses less digits than its factorization.

11949408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41507 (or 41496 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11949408 is about 3456.7915760138. The cubic root of 11949408 is about 228.6206542788.

The spelling of 11949408 in words is "eleven million, nine hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 41491 82982 124473 165964 248946 331928 373419 497892 663856 746838 995784 1327712 1493676 1991568 2987352 3983136 5974704 11949408