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4276480 = 28513257
BaseRepresentation
bin10000010100000100000000
322001021020011
4100110010000
52043321410
6231354304
751230605
oct20240400
98037204
104276480
112460a8a
121522994
13b69680
147d46ac
1559718a
hex414100

4276480 has 72 divisors (see below), whose sum is σ = 11074392. Its totient is φ = 1572864.

The previous prime is 4276451. The next prime is 4276499. The reversal of 4276480 is 846724.

4276480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 3444736 = 912^2 + 1856^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16512 + ... + 16768.

It is an arithmetic number, because the mean of its divisors is an integer number (153811).

Almost surely, 24276480 is an apocalyptic number.

4276480 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 4276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537196).

4276480 is an abundant number, since it is smaller than the sum of its proper divisors (6797912).

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

4276480 is a wasteful number, since it uses less digits than its factorization.

4276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 4276480 is about 2067.9651834593. The cubic root of 4276480 is about 162.3163052448.

The spelling of 4276480 in words is "four million, two hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 257 260 320 416 514 520 640 832 1028 1040 1280 1285 1664 2056 2080 2570 3328 3341 4112 4160 5140 6682 8224 8320 10280 13364 16448 16640 16705 20560 26728 32896 33410 41120 53456 65792 66820 82240 106912 133640 164480 213824 267280 328960 427648 534560 855296 1069120 2138240 4276480