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2985528 = 2337131367
BaseRepresentation
bin1011011000111000111000
312121200101010
423120320320
51231014103
6143553520
734243110
oct13307070
95550333
102985528
11175a087
12bbb8a0
13806bb0
1457a040
153de903
hex2d8e38

2985528 has 64 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 786816.

The previous prime is 2985511. The next prime is 2985529. The reversal of 2985528 is 8255892.

2985528 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985529) 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, 1501 + ... + 2867.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

22985528 is an apocalyptic number.

2985528 is a gapful number since it is divisible by the number (28) 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 2985528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

2985528 is an abundant number, since it is smaller than the sum of its proper divisors (6207432).

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

2985528 is a wasteful number, since it uses less digits than its factorization.

2985528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1392 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 2985528 is about 1727.8680505177. The cubic root of 2985528 is about 143.9926693799.

The spelling of 2985528 in words is "two million, nine hundred eighty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1367 2184 2734 4101 5468 8202 9569 10936 16404 17771 19138 28707 32808 35542 38276 53313 57414 71084 76552 106626 114828 124397 142168 213252 229656 248794 373191 426504 497588 746382 995176 1492764 2985528