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8025472 = 27713253
BaseRepresentation
bin11110100111010110000000
3120002201212201
4132213112000
54023303342
6444002544
7125133610
oct36472600
916081781
108025472
114591724
122830454
13187cc00
1410cca40
15a87db7
hex7a7580

8025472 has 96 divisors (see below), whose sum is σ = 20159280. Its totient is φ = 3115008.

The previous prime is 8025469. The next prime is 8025473. The reversal of 8025472 is 2745208.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 8025472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8025473) 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 11 ways as a sum of consecutive naturals, for example, 151398 + ... + 151450.

Almost surely, 28025472 is an apocalyptic number.

8025472 is the 1792-nd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8025472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10079640).

8025472 is an abundant number, since it is smaller than the sum of its proper divisors (12133808).

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

8025472 is a wasteful number, since it uses less digits than its factorization.

8025472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 8025472 is about 2832.9264021503. The cubic root of 8025472 is about 200.2120417786.

It can be divided in two parts, 80 and 25472, that added together give a palindrome (25552).

The spelling of 8025472 in words is "eight million, twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 53 56 64 91 104 106 112 128 169 182 208 212 224 338 364 371 416 424 448 676 689 728 742 832 848 896 1183 1352 1378 1456 1484 1664 1696 2366 2704 2756 2912 2968 3392 4732 4823 5408 5512 5824 5936 6784 8957 9464 9646 10816 11024 11648 11872 17914 18928 19292 21632 22048 23744 35828 37856 38584 44096 47488 62699 71656 75712 77168 88192 125398 143312 151424 154336 250796 286624 308672 501592 573248 617344 1003184 1146496 2006368 4012736 8025472