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8028396 = 223471349
BaseRepresentation
bin11110101000000011101100
3120002212220000
4132220003230
54023402041
6444024300
7125145255
oct36500354
916085800
108028396
114593942
122832090
13188133c
1410cdb2c
15a88bb6
hex7a80ec

8028396 has 60 divisors (see below), whose sum is σ = 21344400. Its totient is φ = 2630880.

The previous prime is 8028379. The next prime is 8028407. The reversal of 8028396 is 6938208.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8028396.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 22830 + ... + 23178.

It is an arithmetic number, because the mean of its divisors is an integer number (355740).

Almost surely, 28028396 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 8028396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10672200).

8028396 is an abundant number, since it is smaller than the sum of its proper divisors (13316004).

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

8028396 is a wasteful number, since it uses less digits than its factorization.

8028396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

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

The square root of 8028396 is about 2833.4424292722. The cubic root of 8028396 is about 200.2363539075.

The spelling of 8028396 in words is "eight million, twenty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 284 324 349 426 639 698 852 1047 1278 1396 1917 2094 2556 3141 3834 4188 5751 6282 7668 9423 11502 12564 18846 23004 24779 28269 37692 49558 56538 74337 99116 113076 148674 223011 297348 446022 669033 892044 1338066 2007099 2676132 4014198 8028396