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14755968 = 273212809
BaseRepresentation
bin111000010010…
…100010000000
31000202200101100
4320102202000
512234142333
61244134400
7236265213
oct70224200
930680340
1014755968
118369417
124b37400
133098556
141d6177a
151467213
hexe12880

14755968 has 48 divisors (see below), whose sum is σ = 42465150. Its totient is φ = 4918272.

The previous prime is 14755967. The next prime is 14755981. The reversal of 14755968 is 86955741.

It can be written as a sum of positive squares in only one way, i.e., 13483584 + 1272384 = 3672^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (14755967) 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 5 ways as a sum of consecutive naturals, for example, 5253 + ... + 7556.

Almost surely, 214755968 is an apocalyptic number.

14755968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14755968 is an abundant number, since it is smaller than the sum of its proper divisors (27709182).

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

14755968 is a wasteful number, since it uses less digits than its factorization.

14755968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12829 (or 12814 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 14755968 is about 3841.3497627787. The cubic root of 14755968 is about 245.2764781083.

The spelling of 14755968 in words is "fourteen million, seven hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 12809 25618 38427 51236 76854 102472 115281 153708 204944 230562 307416 409888 461124 614832 819776 922248 1229664 1639552 1844496 2459328 3688992 4918656 7377984 14755968