Search a number
-
+
4385280 = 2935571
BaseRepresentation
bin10000101110101000000000
322020210110210
4100232220000
52110312110
6233554120
752163034
oct20565000
98223423
104385280
1125257a9
121575940
13ba7053
148221c4
155b9520
hex42ea00

4385280 has 80 divisors (see below), whose sum is σ = 14043744. Its totient is φ = 1167360.

The previous prime is 4385267. The next prime is 4385281. The reversal of 4385280 is 825834.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4385281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7395 + ... + 7965.

Almost surely, 24385280 is an apocalyptic number.

4385280 is a gapful number since it is divisible by the number (40) 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 4385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021872).

4385280 is an abundant number, since it is smaller than the sum of its proper divisors (9658464).

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

4385280 is an equidigital number, since it uses as much as digits as its factorization.

4385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 4385280 is about 2094.1060145083. The cubic root of 4385280 is about 163.6813164938.

The spelling of 4385280 in words is "four million, three hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 571 640 768 960 1142 1280 1536 1713 1920 2284 2560 2855 3426 3840 4568 5710 6852 7680 8565 9136 11420 13704 17130 18272 22840 27408 34260 36544 45680 54816 68520 73088 91360 109632 137040 146176 182720 219264 274080 292352 365440 438528 548160 730880 877056 1096320 1461760 2192640 4385280