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8074728 = 233417733
BaseRepresentation
bin11110110011010111101000
3120012020110000
4132303113220
54031342403
6445023000
7125430324
oct36632750
916166400
108074728
114615732
122854a60
13189945c
141102984
15a977a3
hex7b35e8

8074728 has 80 divisors (see below), whose sum is σ = 23979780. Its totient is φ = 2529792.

The previous prime is 8074723. The next prime is 8074739. The reversal of 8074728 is 8274708.

It can be written as a sum of positive squares in 2 ways, for example, as 6441444 + 1633284 = 2538^2 + 1278^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 8074692 and 8074701.

It is not an unprimeable number, because it can be changed into a prime (8074723) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10650 + ... + 11382.

Almost surely, 28074728 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 8074728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11989890).

8074728 is an abundant number, since it is smaller than the sum of its proper divisors (15905052).

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

8074728 is a wasteful number, since it uses less digits than its factorization.

8074728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 8074728 is about 2841.6065878302. The cubic root of 8074728 is about 200.6208043493.

The spelling of 8074728 in words is "eight million, seventy-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 733 918 1224 1377 1466 1836 2199 2754 2932 3672 4398 5508 5864 6597 8796 11016 12461 13194 17592 19791 24922 26388 37383 39582 49844 52776 59373 74766 79164 99688 112149 118746 149532 158328 224298 237492 299064 336447 448596 474984 672894 897192 1009341 1345788 2018682 2691576 4037364 8074728