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8029494 = 23211107379
BaseRepresentation
bin11110101000010100110110
3120002221101200
4132220110312
54023420434
6444033330
7125151414
oct36502466
916087350
108029494
114594750
122832846
1318819a5
1410d02b4
15a89199
hex7a8536

8029494 has 48 divisors (see below), whose sum is σ = 19206720. Its totient is φ = 2404080.

The previous prime is 8029493. The next prime is 8029501. The reversal of 8029494 is 4949208.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8029493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20997 + ... + 21375.

It is an arithmetic number, because the mean of its divisors is an integer number (400140).

Almost surely, 28029494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8029494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9603360).

8029494 is an abundant number, since it is smaller than the sum of its proper divisors (11177226).

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

8029494 is a wasteful number, since it uses less digits than its factorization.

8029494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8029494 is about 2833.6361798932. The cubic root of 8029494 is about 200.2454819032.

It can be divided in two parts, 802 and 9494, that added together give a triangular number (10296 = T143).

The spelling of 8029494 in words is "eight million, twenty-nine thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 379 642 758 963 1137 1177 1926 2274 2354 3411 3531 4169 6822 7062 8338 10593 12507 21186 25014 37521 40553 75042 81106 121659 243318 364977 446083 729954 892166 1338249 2676498 4014747 8029494