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8020432 = 247193769
BaseRepresentation
bin11110100110000111010000
3120002110222001
4132212013100
54023123212
6443523344
7125113120
oct36460720
916073861
108020432
114588962
122829554
13187a824
1410cac80
15a86657
hex7a61d0

8020432 has 40 divisors (see below), whose sum is σ = 18699200. Its totient is φ = 3255552.

The previous prime is 8020429. The next prime is 8020433. The reversal of 8020432 is 2340208.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8020433) 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 7 ways as a sum of consecutive naturals, for example, 244 + ... + 4012.

It is an arithmetic number, because the mean of its divisors is an integer number (467480).

Almost surely, 28020432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9349600).

8020432 is an abundant number, since it is smaller than the sum of its proper divisors (10678768).

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

8020432 is a wasteful number, since it uses less digits than its factorization.

8020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 8020432 is about 2832.0367229257. The cubic root of 8020432 is about 200.1701219183.

The spelling of 8020432 in words is "eight million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 3769 7538 15076 26383 30152 52766 60304 71611 105532 143222 211064 286444 422128 501277 572888 1002554 1145776 2005108 4010216 8020432