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8012032 = 28717263
BaseRepresentation
bin11110100100000100000000
3120002001102221
4132210010000
54022341112
6443420424
7125046460
oct36440400
916061387
108012032
114582616
122824714
131876a62
1410c7ba0
15a83e07
hex7a4100

8012032 has 72 divisors (see below), whose sum is σ = 19426176. Its totient is φ = 3219456.

The previous prime is 8012029. The next prime is 8012057. The reversal of 8012032 is 2302108.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 8011997 and 8012015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30333 + ... + 30595.

It is an arithmetic number, because the mean of its divisors is an integer number (269808).

Almost surely, 28012032 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 8012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9713088).

8012032 is an abundant number, since it is smaller than the sum of its proper divisors (11414144).

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

8012032 is a wasteful number, since it uses less digits than its factorization.

8012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 8012032 is about 2830.5533028014. The cubic root of 8012032 is about 200.1002164416.

The spelling of 8012032 in words is "eight million, twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 263 272 448 476 526 544 896 952 1052 1088 1792 1841 1904 2104 2176 3682 3808 4208 4352 4471 7364 7616 8416 8942 14728 15232 16832 17884 29456 30464 31297 33664 35768 58912 62594 67328 71536 117824 125188 143072 235648 250376 286144 471296 500752 572288 1001504 1144576 2003008 4006016 8012032