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3864528 = 243247571
BaseRepresentation
bin1110101111011111010000
321021100010200
432233133100
51442131103
6214455200
744563563
oct16573720
97240120
103864528
1121aa528
121364500
13a54005
147284da
155150a3
hex3af7d0

3864528 has 60 divisors (see below), whose sum is σ = 11064768. Its totient is φ = 1258560.

The previous prime is 3864521. The next prime is 3864541. The reversal of 3864528 is 8254683.

3864528 is a `hidden beast` number, since 3 + 8 + 645 + 2 + 8 = 666.

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 = 3864492 and 3864501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6483 + ... + 7053.

Almost surely, 23864528 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 3864528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532384).

3864528 is an abundant number, since it is smaller than the sum of its proper divisors (7200240).

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

3864528 is a wasteful number, since it uses less digits than its factorization.

3864528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 623 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3864528 is about 1965.8402783543. The cubic root of 3864528 is about 156.9274144840.

The spelling of 3864528 in words is "three million, eight hundred sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 571 752 846 1128 1142 1692 1713 2256 2284 3384 3426 4568 5139 6768 6852 9136 10278 13704 20556 26837 27408 41112 53674 80511 82224 107348 161022 214696 241533 322044 429392 483066 644088 966132 1288176 1932264 3864528