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89782014 = 2372319851
BaseRepresentation
bin1010101100111…
…11011011111110
320020221101202210
411112133123332
5140441011024
612524201250
72140064100
oct526373376
9206841683
1089782014
1146752613
1226099226
13157a696a
14bcd1570
157d37129
hex559f6fe

89782014 has 48 divisors (see below), whose sum is σ = 215640576. Its totient is φ = 24822000.

The previous prime is 89781997. The next prime is 89782067. The reversal of 89782014 is 41028798.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4189 + ... + 14039.

It is an arithmetic number, because the mean of its divisors is an integer number (4492512).

Almost surely, 289782014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89782014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107820288).

89782014 is an abundant number, since it is smaller than the sum of its proper divisors (125858562).

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

89782014 is a wasteful number, since it uses less digits than its factorization.

89782014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9901 (or 9894 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 89782014 is about 9475.3371443976. The cubic root of 89782014 is about 447.7783734519.

The spelling of 89782014 in words is "eighty-nine million, seven hundred eighty-two thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 9114 9851 19702 29553 59106 68957 137914 206871 305381 413742 482699 610762 916143 965398 1448097 1832286 2137667 2896194 4275334 6413001 12826002 14963669 29927338 44891007 89782014