Search a number
-
+
4781280 = 253571423
BaseRepresentation
bin10010001111010011100000
322222220200110
4102033103200
52211000110
6250251320
755432410
oct22172340
98886613
104781280
112776279
121726b40
13cb537a
148c6640
15646a20
hex48f4e0

4781280 has 96 divisors (see below), whose sum is σ = 17224704. Its totient is φ = 1092096.

The previous prime is 4781243. The next prime is 4781323. The reversal of 4781280 is 821874.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2649 + ... + 4071.

It is an arithmetic number, because the mean of its divisors is an integer number (179424).

Almost surely, 24781280 is an apocalyptic number.

4781280 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 4781280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8612352).

4781280 is an abundant number, since it is smaller than the sum of its proper divisors (12443424).

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

4781280 is a wasteful number, since it uses less digits than its factorization.

4781280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 4781280 is about 2186.6138204996. The cubic root of 4781280 is about 168.4669548678.

The spelling of 4781280 in words is "four million, seven hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1423 1680 2846 3360 4269 5692 7115 8538 9961 11384 14230 17076 19922 21345 22768 28460 29883 34152 39844 42690 45536 49805 56920 59766 68304 79688 85380 99610 113840 119532 136608 149415 159376 170760 199220 227680 239064 298830 318752 341520 398440 478128 597660 683040 796880 956256 1195320 1593760 2390640 4781280