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8250528 = 2531113601
BaseRepresentation
bin11111011110010010100000
3120112011121010
4133132102200
54103004103
6452500520
7130062006
oct37362240
916464533
108250528
114725820
12291a740
13192b490
14114aa76
15ace903
hex7de4a0

8250528 has 96 divisors (see below), whose sum is σ = 25486272. Its totient is φ = 2304000.

The previous prime is 8250509. The next prime is 8250547.

8250528 is nontrivially palindromic in base 10.

8250528 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8250509) and next prime (8250547).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 8250495 and 8250504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13428 + ... + 14028.

It is an arithmetic number, because the mean of its divisors is an integer number (265482).

Almost surely, 28250528 is an apocalyptic number.

8250528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8250528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12743136).

8250528 is an abundant number, since it is smaller than the sum of its proper divisors (17235744).

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

8250528 is a wasteful number, since it uses less digits than its factorization.

8250528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 8250528 is about 2872.3732348008. The cubic root of 8250528 is about 202.0663115952.

It can be divided in two parts, 8250 and 528, that added together give a palindrome (8778).

The spelling of 8250528 in words is "eight million, two hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 601 624 858 1056 1144 1202 1248 1716 1803 2288 2404 3432 3606 4576 4808 6611 6864 7212 7813 9616 13222 13728 14424 15626 19232 19833 23439 26444 28848 31252 39666 46878 52888 57696 62504 79332 85943 93756 105776 125008 158664 171886 187512 211552 250016 257829 317328 343772 375024 515658 634656 687544 750048 1031316 1375088 2062632 2750176 4125264 8250528