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89745984 = 2632155809
BaseRepresentation
bin1010101100101…
…10101001000000
320020212120100100
411112112221000
5140433332414
612523322400
72136554046
oct526265100
9206776310
1089745984
1146728539
1226080400
1315793443
14bcc2396
157d2b609
hex5596a40

89745984 has 42 divisors (see below), whose sum is σ = 257242310. Its totient is φ = 29915136.

The previous prime is 89745893. The next prime is 89745989. The reversal of 89745984 is 48954798.

It can be written as a sum of positive squares in only one way, i.e., 50808384 + 38937600 = 7128^2 + 6240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 89745984.

It is not an unprimeable number, because it can be changed into a prime (89745989) by changing a digit.

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, 77329 + ... + 78480.

Almost surely, 289745984 is an apocalyptic number.

It is an amenable number.

89745984 is an abundant number, since it is smaller than the sum of its proper divisors (167496326).

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

89745984 is a wasteful number, since it uses less digits than its factorization.

89745984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155827 (or 155814 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 89745984 is about 9473.4357020038. The cubic root of 89745984 is about 447.7184668228.

The spelling of 89745984 in words is "eighty-nine million, seven hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 155809 311618 467427 623236 934854 1246472 1402281 1869708 2492944 2804562 3739416 4985888 5609124 7478832 9971776 11218248 14957664 22436496 29915328 44872992 89745984