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3894880 = 255112213
BaseRepresentation
bin1110110110111001100000
321022212202211
432312321200
51444114010
6215251504
745051223
oct16667140
97285684
103894880
112220310
121379b94
13a64a82
147355ba
1551e08a
hex3b6e60

3894880 has 48 divisors (see below), whose sum is σ = 10042704. Its totient is φ = 1415680.

The previous prime is 3894859. The next prime is 3894881. The reversal of 3894880 is 884983.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3894881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654 + ... + 2866.

It is an arithmetic number, because the mean of its divisors is an integer number (209223).

Almost surely, 23894880 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 3894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021352).

3894880 is an abundant number, since it is smaller than the sum of its proper divisors (6147824).

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

3894880 is a wasteful number, since it uses less digits than its factorization.

3894880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 3894880 is about 1973.5450336894. The cubic root of 3894880 is about 157.3371795159.

It can be divided in two parts, 3894 and 880, that added together give a palindrome (4774).

The spelling of 3894880 in words is "three million, eight hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2213 4426 8852 11065 17704 22130 24343 35408 44260 48686 70816 88520 97372 121715 177040 194744 243430 354080 389488 486860 778976 973720 1947440 3894880