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3888528 = 243771163
BaseRepresentation
bin1110110101010110010000
321022120001120
432311112100
51443413103
6215202240
745023550
oct16652620
97276046
103888528
112216566
121376380
13a61c07
14733160
1551c253
hex3b5590

3888528 has 80 divisors (see below), whose sum is σ = 11713536. Its totient is φ = 1088640.

The previous prime is 3888527. The next prime is 3888539. The reversal of 3888528 is 8258883.

3888528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3888528.

It is not an unprimeable number, because it can be changed into a prime (3888527) 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 15 ways as a sum of consecutive naturals, for example, 23775 + ... + 23937.

Almost surely, 23888528 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 3888528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856768).

3888528 is an abundant number, since it is smaller than the sum of its proper divisors (7825008).

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

3888528 is a wasteful number, since it uses less digits than its factorization.

3888528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 3888528 is about 1971.9350902096. The cubic root of 3888528 is about 157.2516013934.

The spelling of 3888528 in words is "three million, eight hundred eighty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 163 168 213 284 326 336 426 489 497 568 652 852 978 994 1136 1141 1304 1491 1704 1956 1988 2282 2608 2982 3408 3423 3912 3976 4564 5964 6846 7824 7952 9128 11573 11928 13692 18256 23146 23856 27384 34719 46292 54768 69438 81011 92584 138876 162022 185168 243033 277752 324044 486066 555504 648088 972132 1296176 1944264 3888528