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114544656 = 2432795449
BaseRepresentation
bin1101101001111…
…01000000010000
321222112110201200
412310331000100
5213310412111
615211031200
72560420302
oct664750020
9258473650
10114544656
1159726106
123243b500
131a966b05
14112d9972
15a0c9256
hex6d3d010

114544656 has 30 divisors (see below), whose sum is σ = 320566350. Its totient is φ = 38181504.

The previous prime is 114544613. The next prime is 114544747. The reversal of 114544656 is 656445411.

It can be written as a sum of positive squares in only one way, i.e., 108493056 + 6051600 = 10416^2 + 2460^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 114544656.

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, 397581 + ... + 397868.

It is an arithmetic number, because the mean of its divisors is an integer number (10685545).

Almost surely, 2114544656 is an apocalyptic number.

114544656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114544656 is an abundant number, since it is smaller than the sum of its proper divisors (206021694).

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

114544656 is a wasteful number, since it uses less digits than its factorization.

114544656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795463 (or 795454 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 114544656 is about 10702.5537139507. The cubic root of 114544656 is about 485.6517344395.

It can be divided in two parts, 11454 and 4656, that added together give a triangular number (16110 = T179).

The spelling of 114544656 in words is "one hundred fourteen million, five hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 795449 1590898 2386347 3181796 4772694 6363592 7159041 9545388 12727184 14318082 19090776 28636164 38181552 57272328 114544656