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8028272 = 247431667
BaseRepresentation
bin11110101000000001110000
3120002212201102
4132220001300
54023401042
6444023532
7125145020
oct36500160
916085642
108028272
11459383a
122831ba8
131881275
1410cda80
15a88b32
hex7a8070

8028272 has 40 divisors (see below), whose sum is σ = 18201216. Its totient is φ = 3358656.

The previous prime is 8028263. The next prime is 8028277. The reversal of 8028272 is 2728208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8028277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3983 + ... + 5649.

Almost surely, 28028272 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 8028272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9100608).

8028272 is an abundant number, since it is smaller than the sum of its proper divisors (10172944).

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

8028272 is a wasteful number, since it uses less digits than its factorization.

8028272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 8028272 is about 2833.4205476773. The cubic root of 8028272 is about 200.2353230068.

The spelling of 8028272 in words is "eight million, twenty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 1667 2408 3334 4816 6668 11669 13336 23338 26672 46676 71681 93352 143362 186704 286724 501767 573448 1003534 1146896 2007068 4014136 8028272