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8015028 = 2237243317
BaseRepresentation
bin11110100100110010110100
3120002012112220
4132210302310
54022440103
6443442340
7125061300
oct36446264
916065486
108015028
11458489a
1228263b0
131878228
1410c8d00
15a84c53
hex7a4cb4

8015028 has 72 divisors (see below), whose sum is σ = 22331232. Its totient is φ = 2229696.

The previous prime is 8015023. The next prime is 8015039. The reversal of 8015028 is 8205108.

8015028 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 8014989 and 8015007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8015023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25126 + ... + 25442.

It is an arithmetic number, because the mean of its divisors is an integer number (310156).

Almost surely, 28015028 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 8015028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11165616).

8015028 is an abundant number, since it is smaller than the sum of its proper divisors (14316204).

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

8015028 is a wasteful number, since it uses less digits than its factorization.

8015028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 8015028 is about 2831.0824784877. The cubic root of 8015028 is about 200.1251549981.

The spelling of 8015028 in words is "eight million, fifteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 317 516 588 602 634 903 951 1204 1268 1806 1902 2107 2219 3612 3804 4214 4438 6321 6657 8428 8876 12642 13314 13631 15533 25284 26628 27262 31066 40893 46599 54524 62132 81786 93198 95417 163572 186396 190834 286251 381668 572502 667919 1145004 1335838 2003757 2671676 4007514 8015028